{"id":8344,"date":"2024-08-11T12:56:12","date_gmt":"2024-08-11T07:26:12","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=8344"},"modified":"2024-08-22T10:16:29","modified_gmt":"2024-08-22T04:46:29","slug":"ncert-solutions-class-11-maths-chapter-1-set-ex-1-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/","title":{"rendered":"NCERT Solutions Class 11 Maths Chapter 1 Set &#8211; Ex 1.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 11 Maths\u00a0<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 11 Mathematics <strong>Chapter &#8211; 1 Sets <\/strong>Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter 1 (Sets)\u00a0<\/span><\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>Chapter : 1 Sets<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-2\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.2<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-3\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.3<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-4\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.4<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-5\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.5<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-6\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.6<\/a><\/span><\/li>\n<\/ul>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; border-style: solid; border-color: #000000; background-color: #bddeab; text-align: center; height: 28px;\"><span style=\"font-family: georgia, palatino, serif; color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 1.1<\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>1. Which of the following are sets? Justify your answer.\u00a0 <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(i) The collection of all months of a year beginning with the letter J.<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>The collection of all months of a year beginning with the letter J is a well-defined collection of objects because one can definitely identity a month that belongs to this collection. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ii)\u00a0The collection of ten most talented writers of India.<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>The collection of ten most talented writer of India is not a well-defined collection because the criteria for determining a writer\u2019s talent vary from person to person. Hence, this collection is not a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iii)\u00a0A team of eleven best-cricket batsmen of the world.<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman\u2019s talent may vary from person to person. Hence, this collection is not a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iv)\u00a0The collection of all boys in your class.<\/strong><br \/>\n<strong>Solution &#8211;<\/strong>\u00a0The collection of all boys in your class is a well-defined collection because you can definitely identify a boy who belongs to this collection. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(v)\u00a0The collection of all natural numbers less than 100.<\/strong><br \/>\n<strong>Solution &#8211;\u00a0<\/strong>The collection of all natural numbers less than 100 is a well-defined collection because one can definitely identify a number that belongs to this collection. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(vi)\u00a0A collection of novels written by the writer Munshi Prem Chand.<\/strong><br \/>\n<strong>Solution &#8211; <\/strong>A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(vii)\u00a0The collection of all even integers.<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(viii)\u00a0The collection of questions in this Chapter.<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>The collection of questions in this chapter is a well-defined collection because one can definitely identify a question that belongs to this chapter. Hence, this collection is a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ix)\u00a0A collection of most dangerous animals of the world.<\/strong><br \/>\n<strong>Solution &#8211;\u00a0<\/strong>The collection of most dangerous animals of the world is not a well-defined collection because the criteria for determining the dangerousness of an animal can vary from person to person. Hence, this collection is not a set.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>2. Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol \u2208or \u2209 in the blank spaces: <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(i) 5 . . . A<br \/>\nSolution &#8211;\u00a0<\/strong>5 \u2208 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ii) 8 . . . A<br \/>\nSolution &#8211;\u00a0<\/strong>8 \u2209 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iii) 0 . . . A<br \/>\nSolution &#8211;\u00a0<\/strong>0 \u2209 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iv) 4 . . .\u00a0 A<br \/>\nSolution &#8211;\u00a0<\/strong>4 \u2208 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(v) 2 . . . A<br \/>\nSolution &#8211;\u00a0<\/strong>2 \u2208 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(vi) 10 . . .\u00a0 A<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>10 \u2209 A<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>3. Write the following sets in roster form:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(i)\u00a0A = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an integer and \u20133 &lt;\u00a0<em>x\u00a0<\/em>&lt; 7}.<br \/>\nSolution &#8211; <\/strong>A = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an integer and \u20133 &lt;\u00a0<em>x\u00a0<\/em>&lt; 7}<br \/>\n\u20132, \u20131, 0, 1, 2, 3, 4, 5, and 6 only are the elements of this set.<br \/>\nHence, the given set can be written in roster form as A = {\u20132, \u20131, 0, 1, 2, 3, 4, 5, 6}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ii)\u00a0B = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a natural number less than 6}.<br \/>\nSolution &#8211; <\/strong>B = {<em>x<\/em>:\u00a0<em>x<\/em> is a natural number less than 6}<br \/>\n1, 2, 3, 4, and 5 only are the elements of this set<br \/>\nHence, the given set can be written in roster form as B = {1, 2, 3, 4, 5}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iii)\u00a0C = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a two-digit natural number such that the sum of its digits is 8}<br \/>\nSolution &#8211; <\/strong>C = {<em>x<\/em>:\u00a0<em>x<\/em> is a two-digit natural number such that the sum of its digits is 8}<br \/>\n17, 26, 35, 44, 53, 62, 71, and 80 only are the elements of this set.<br \/>\nHence, the given set can be written in roster form as C = {17, 26, 35, 44, 53, 62, 71, 80}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iv)\u00a0D = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a prime number which is divisor of 60}.<br \/>\nSolution &#8211;\u00a0<\/strong>D = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a prime number which is divisor of 60}<br \/>\n<\/span><\/p>\n<table style=\"width: 20%; border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">2<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">60<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">2<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">30<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">3<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">15<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><span style=\"text-align: justify;\">Here 60 = 2 \u00d7 2 \u00d7 3 \u00d7 5<br \/>\n<\/span>2, 3 and 5 only are the elements of this set<br \/>\nHence, the given set can be written in roster form as D = {2, 3, 5}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(v)\u00a0E = The set of all letters in the word TRIGONOMETRY.<br \/>\nSolution &#8211; <\/strong>E = The set of all letters in the word TRIGONOMETRY<br \/>\nTRIGONOMETRY is a 12 letters word out of which T, R and O are repeated.<br \/>\nHence, the given set can be written in roster form as E = {T, R, I, G, O, N, M, E, Y}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(vi) F = The set of all letters in the word BETTER.<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>F = The set of all letters in the word BETTER<br \/>\nBETTER is a 6 letters word out of which E and T are repeated.<br \/>\nHence, the given set can be written in roster form as F = {B, E, T, R}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>4. Write the following sets in the set-builder form: <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(i) (3, 6, 9, 12}<br \/>\nSolution &#8211; <\/strong>The given set can be written in the set-builder form as {<em>x<\/em>:<em>\u00a0x<\/em>\u00a0= 3<em>n<\/em>,\u00a0<em>n\u00a0<\/em>\u2208 N and 1 \u2264\u00a0<em>n<\/em>\u00a0\u2264 4}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ii)\u00a0{2, 4, 8, 16, 32}<br \/>\nSolution &#8211; <\/strong>We know that 2 = 2<sup>1<\/sup>, 4 = 2<sup>2<\/sup>, 8 = 2<sup>3<\/sup>, 16 = 2<sup>4<\/sup>, and 32 = 2<sup>5<\/sup>. Therefore, the given set {2, 4, 8, 16, 32} can be written in the set-builder form as {<em>x<\/em>:<em>\u00a0x<\/em>\u00a0= 2<em><sup>n<\/sup><\/em>,\u00a0<em>n\u00a0<\/em>\u2208 N and 1 \u2264\u00a0<em>n<\/em>\u00a0\u2264 5}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iii)\u00a0{5, 25, 125, 625}<br \/>\nSolution &#8211; <\/strong>We know that 5 = 5<sup>1<\/sup>, 25 = 5<sup>2<\/sup>, 125 = 5<sup>3<\/sup>, and 625 = 5<sup>4<\/sup>. Therefore, the given set {5, 25, 125, 625} can be written in the set-builder form as {<em>x<\/em>:<em>\u00a0x<\/em>\u00a0= 5<em><sup>n<\/sup><\/em>,\u00a0<em>n\u00a0<\/em>\u2208N and 1 \u2264\u00a0<em>n<\/em>\u00a0\u2264 4}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iv)\u00a0{2, 4, 6 \u2026}<br \/>\nSolution &#8211; <\/strong>{2, 4, 6 \u2026} is a set of all even natural numbers. Therefore, the given set {2, 4, 6 \u2026} can be written in the set-builder form as {<em>x<\/em>:<em>\u00a0x<\/em>\u00a0is an even natural number}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(v) {1, 4, 9 \u2026 100}<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>We know that 1 = 1<sup>2<\/sup>, 4 = 2<sup>2<\/sup>, 9 = 3<sup>2<\/sup>\u00a0\u2026100 = 10<sup>2<\/sup>. Therefore, the given set {1, 4, 9\u2026 100} can be written in the set-builder form as {<em>x<\/em>:<em>\u00a0x<\/em>\u00a0=\u00a0<em>n<\/em><sup>2<\/sup>,\u00a0<em>n\u00a0<\/em>\u2208 N and 1 \u2264\u00a0<em>n<\/em>\u00a0\u2264 10}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>5. List all the elements of the following sets: <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(i)\u00a0A = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an odd natural number}<br \/>\nSolution &#8211; <\/strong>A = {<em>x<\/em>:\u00a0<em>x<\/em> is an odd natural number}<br \/>\nSo the elements are A = {1, 3, 5, 7, 9 \u2026..}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(ii)\u00a0B = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an integer, -1\/2 &lt; x &lt; 9\/2}<br \/>\nSolution &#8211; <\/strong>B = {<em>x<\/em>:\u00a0<em>x<\/em> is an integer, -1\/2 &lt; x &lt; 9\/2}<br \/>\nWe know that \u2013 1\/2 = \u2013 0.5 and 9\/2 = 4.5<br \/>\nSo the elements are B = {0, 1, 2, 3, 4}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iii)\u00a0C = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an integer, x<sup>2<\/sup>\u00a0\u2264 4}<br \/>\nSolution &#8211;\u00a0<\/strong>C = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an integer, x<sup>2<\/sup> \u2264 4}<br \/>\nWe know that<br \/>\n(\u20131)<sup>2<\/sup>\u00a0= 1 \u2264 4; (\u20132)<sup>2<\/sup>\u00a0= 4 \u2264 4; (\u20133)<sup>2<\/sup> = 9 &gt; 4<br \/>\nHere<br \/>\n0<sup>2<\/sup>\u00a0= 0 \u2264 4, 1<sup>2<\/sup>\u00a0= 1 \u2264 4, 2<sup>2<\/sup>\u00a0= 4 \u2264 4, 3<sup>2<\/sup> = 9 &gt; 4<br \/>\nSo we get<br \/>\nC = {\u20132, \u20131, 0, 1, 2}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(iv)\u00a0D = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a letter in the word \u201cLOYAL\u201d}<br \/>\nSolution &#8211; <\/strong>D = {<em>x<\/em>:\u00a0<em>x<\/em> is a letter in the word \u201cLOYAL\u201d}<br \/>\nSo the elements are D = {L, O, Y, A}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(v)\u00a0E = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a month of a year not having 31 days}<br \/>\nSolution &#8211;\u00a0<\/strong>E = {<em>x<\/em>:\u00a0<em>x<\/em> is a month of a year not having 31 days}<br \/>\nSo the elements are E = {February, April, June, September, November}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>(vi)\u00a0F = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a consonant in the English alphabet which proceeds\u00a0<em>k<\/em>}.<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>F = {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a consonant in the English alphabet which proceeds\u00a0<em>k<\/em>}<br \/>\nSo the elements are F = {b, c, d, f, g, h, j}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>6. Match each of the set on the left in the roster form with the same set on the right described in set-builder form:<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(i) {1, 2, 3, 6}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(a) {x: x is a prime number and a divisor of 6}<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(ii) {2, 3}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(b) {x: x is an odd natural number less than 10}<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(iii) {M, A, T, H, E, I, C, S}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(c) {x: x is a natural number and divisor of 6}<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(iv) {1, 3, 5, 7, 9}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(d) {x: x is a letter of the word MATHEMATICS}<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\"><strong>Solution &#8211;\u00a0<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(i) {1, 2, 3, 6}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(c) {x: x is a natural number and divisor of 6}<br \/>\n<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(ii) {2, 3}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(a) {x: x is a prime number and a divisor of 6}<br \/>\n<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(iii) {M, A, T, H, E, I, C, S}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(d) {x: x is a letter of the word MATHEMATICS}<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(iv) {1, 3, 5, 7, 9}\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 12pt;\">(b) {x: x is an odd natural number less than 10}<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths\/\" target=\"_blank\" rel=\"noopener\"><b><i>Go Back To Chapters<\/i><\/b><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 11 Maths\u00a0 The NCERT Solutions in English Language for Class 11 Mathematics Chapter &#8211; 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 1 (Sets)\u00a0 Chapter : 1 Sets NCERT Class 11 Maths Solution Ex &#8211; 1.2 NCERT Class 11 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1674],"tags":[1675,1679,1676,1677,1678,1680,1681],"class_list":["post-8344","post","type-post","status-publish","format-standard","hentry","category-class-11-maths","tag-class-11-ncert-mathematics-solutions","tag-class-11-ncert-solutions","tag-ncert-class-11-mathematics-chapter-1-sets-solutions","tag-ncert-class-11-mathematics-exercise-1-1-solutions","tag-ncert-class-11-mathematics-solutions","tag-ncert-solutions-class-11-mathematics","tag-ncert-solutions-class-11-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Class 11 Maths Solutions - Exercise 1.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 11 Maths Chapter 1 Set - Ex 1.1\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0\" \/>\n<meta property=\"og:url\" content=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/\" \/>\n<meta property=\"og:site_name\" content=\"TheExamPillar NCERT\" \/>\n<meta property=\"article:published_time\" content=\"2024-08-11T07:26:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-08-22T04:46:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/ExamPillar-PNG.png\" \/>\n\t<meta property=\"og:image:width\" content=\"500\" \/>\n\t<meta property=\"og:image:height\" content=\"500\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@exampillar\" \/>\n<meta name=\"twitter:site\" content=\"@exampillar\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/\"},\"author\":{\"name\":\"Admin\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"headline\":\"NCERT Solutions Class 11 Maths Chapter 1 Set &#8211; Ex 1.1\",\"datePublished\":\"2024-08-11T07:26:12+00:00\",\"dateModified\":\"2024-08-22T04:46:29+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/\"},\"wordCount\":1304,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"keywords\":[\"Class 11 NCERT Mathematics Solutions\",\"Class 11 NCERT Solutions\",\"NCERT Class 11 Mathematics Chapter 1 Sets Solutions\",\"NCERT Class 11 Mathematics Exercise 1.1 Solutions\",\"NCERT Class 11 Mathematics Solutions\",\"NCERT Solutions Class 11 Mathematics\",\"NCERT Solutions Class 11 Maths\"],\"articleSection\":[\"Class 11 Maths\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/\",\"name\":\"NCERT Class 11 Maths Solutions - Exercise 1.1 | TheExamPillar NCERT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\"},\"datePublished\":\"2024-08-11T07:26:12+00:00\",\"dateModified\":\"2024-08-22T04:46:29+00:00\",\"description\":\"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions Class 11 Maths Chapter 1 Set &#8211; Ex 1.1\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\",\"name\":\"TheExamPillar NCERT\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"alternateName\":\"NCERT Solution\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\",\"name\":\"Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"width\":512,\"height\":512,\"caption\":\"Admin\"},\"logo\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\"},\"sameAs\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\"],\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/author\\\/ncert_eng_vikram\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"NCERT Class 11 Maths Solutions - Exercise 1.1 | TheExamPillar NCERT","description":"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions Class 11 Maths Chapter 1 Set - Ex 1.1","og_description":"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0","og_url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/","og_site_name":"TheExamPillar NCERT","article_published_time":"2024-08-11T07:26:12+00:00","article_modified_time":"2024-08-22T04:46:29+00:00","og_image":[{"width":500,"height":500,"url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/ExamPillar-PNG.png","type":"image\/png"}],"author":"Admin","twitter_card":"summary_large_image","twitter_creator":"@exampillar","twitter_site":"@exampillar","twitter_misc":{"Written by":"Admin","Est. reading time":"8 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/#article","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/"},"author":{"name":"Admin","@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"headline":"NCERT Solutions Class 11 Maths Chapter 1 Set &#8211; Ex 1.1","datePublished":"2024-08-11T07:26:12+00:00","dateModified":"2024-08-22T04:46:29+00:00","mainEntityOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/"},"wordCount":1304,"commentCount":0,"publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"keywords":["Class 11 NCERT Mathematics Solutions","Class 11 NCERT Solutions","NCERT Class 11 Mathematics Chapter 1 Sets Solutions","NCERT Class 11 Mathematics Exercise 1.1 Solutions","NCERT Class 11 Mathematics Solutions","NCERT Solutions Class 11 Mathematics","NCERT Solutions Class 11 Maths"],"articleSection":["Class 11 Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/","url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/","name":"NCERT Class 11 Maths Solutions - Exercise 1.1 | TheExamPillar NCERT","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/#website"},"datePublished":"2024-08-11T07:26:12+00:00","dateModified":"2024-08-22T04:46:29+00:00","description":"NCERT Solutions Class 11 Maths\u00a0The NCERT Solutions in English Language for Class 11 Mathematics Chapter - 1 Sets Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.\u00a0Chapter 1 (Sets)\u00a0","breadcrumb":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/theexampillar.com\/ncert\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions Class 11 Maths Chapter 1 Set &#8211; Ex 1.1"}]},{"@type":"WebSite","@id":"https:\/\/theexampillar.com\/ncert\/#website","url":"https:\/\/theexampillar.com\/ncert\/","name":"TheExamPillar NCERT","description":"","publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"alternateName":"NCERT Solution","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/theexampillar.com\/ncert\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1","name":"Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","width":512,"height":512,"caption":"Admin"},"logo":{"@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png"},"sameAs":["https:\/\/theexampillar.com\/ncert"],"url":"https:\/\/theexampillar.com\/ncert\/author\/ncert_eng_vikram\/"}]}},"_links":{"self":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/8344","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/comments?post=8344"}],"version-history":[{"count":3,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/8344\/revisions"}],"predecessor-version":[{"id":8473,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/8344\/revisions\/8473"}],"wp:attachment":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/media?parent=8344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/categories?post=8344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/tags?post=8344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}