{"id":1903,"date":"2026-05-22T11:07:04","date_gmt":"2026-05-22T11:07:04","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1903"},"modified":"2026-05-22T11:07:08","modified_gmt":"2026-05-22T11:07:08","slug":"sets-exercise-1-1-solutions-class-11-maths-ncert","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/sets-exercise-1-1-solutions-class-11-maths-ncert\/","title":{"rendered":"Sets Exercise 1.1 Solutions Class 11 Maths NCERT"},"content":{"rendered":"<div class=\"mymoc-top mymoc-entity-placement\" id=\"mymoc-2721358965\"><div id=\"mymoc-2908115503\"><a href=\"https:\/\/amzn.to\/4uMTpup\" aria-label=\"books\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books.png 1301w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-300x56.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-1024x190.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-768x143.png 768w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" width=\"1301\" height=\"242\"><\/a><\/div><\/div><div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1903?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">12<\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete step-by-step solutions for Class 11 Maths Chapter 1 Exercise 2.1 &ndash; Sets based on the latest NCERT syllabus. This exercise covers basic concepts of sets, roster form, set-builder form, empty sets, finite and infinite sets, subsets, intervals, union, intersection and difference of sets in an easy and exam-oriented format.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Item<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Class<\/td><td>11<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Chapter<\/td><td>Sets<\/td><\/tr><tr><td>Exercise<\/td><td>1.1<\/td><\/tr><tr><td>Main Topics<\/td><td>Sets &amp; Operations<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Definition of Sets<\/li>\n\n\n\n<li>Roster Form<\/li>\n\n\n\n<li>Set-Builder Form<\/li>\n\n\n\n<li>Empty Set<\/li>\n\n\n\n<li>Finite &amp; Infinite Sets<\/li>\n\n\n\n<li>Equal Sets<\/li>\n\n\n\n<li>Subsets<\/li>\n\n\n\n<li>Universal Set<\/li>\n\n\n\n<li>Union of Sets<\/li>\n\n\n\n<li>Intersection of Sets<\/li>\n\n\n\n<li>Difference of Sets<\/li>\n\n\n\n<li>Venn Diagrams<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The chapter introduces the fundamental concept of sets and their applications in mathematics.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Union of Sets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cup;<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>&isin;<\/mo><mi>A<\/mi><mtext>&nbsp;or&nbsp;<\/mtext><mi>x<\/mi><mo>&isin;<\/mo><mi>B<\/mi><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">A\\cup B=\\{x:x\\in A\\text{ or }x\\in B\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Intersection of Sets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&cap;<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>&isin;<\/mo><mi>A<\/mi><mtext>&nbsp;and&nbsp;<\/mtext><mi>x<\/mi><mo>&isin;<\/mo><mi>B<\/mi><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap B=\\{x:x\\in A\\text{ and }x\\in B\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Difference of Sets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>&minus;<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>&isin;<\/mo><mi>A<\/mi><mtext>&nbsp;and&nbsp;<\/mtext><mi>x<\/mi><mo mathvariant=\"normal\">&notin;<\/mo><mi>B<\/mi><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">A-B=\\{x:x\\in A\\text{ and }x\\notin B\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Complement of Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">&prime;<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><mo>&minus;<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A&rsquo;=U-A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/sets-exercise-1-2-solutions-class-11-maths-ncert\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Sets Exercise 1.2 Solutions Class 11 Maths NCERT<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Which of the following are sets?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">(i) Collection of months beginning with J<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">because it is well-defined.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(ii) Collection of ten most talented writers<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Not a set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">because &ldquo;talented&rdquo; is not well-defined.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(iii) Eleven best cricket batsmen<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Not a set<\/code><\/pre>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/sets-exercise-1-3-solutions-class-11-maths-ncert\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Sets Exercise 1.3 Solutions Class 11 Maths NCERT<\/span><\/a><\/div><p class=\"wp-block-paragraph\">(iv) All boys in your class<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(v) Natural numbers less than 100<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(vi) Novels written by Munshi Prem Chand<\/p><div class=\"mymoc-middle mymoc-entity-placement\" id=\"mymoc-1570627225\"><div id=\"mymoc-2562744871\"><a href=\"https:\/\/amzn.to\/4xnw9oY\" aria-label=\"head-phones\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/head-phones.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/head-phones.png 1301w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/head-phones-300x80.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/head-phones-1024x274.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/head-phones-768x205.png 768w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" width=\"1301\" height=\"348\"><\/a><\/div><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(vii) Collection of all even integers<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(viii) Collection of questions in this chapter<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Set<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(ix) Collection of most dangerous animals<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Not a set<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/class-11-maths-exercise-1-4-solutions-sets\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Class 11 Maths Exercise 1.4 Solutions &ndash; Sets<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A = {1,2,3,4,5,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Insert &isin; or &notin;.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">(i)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>5 &isin; A<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(ii)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8 &notin; A<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(iii)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 &notin; A<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(iv)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>4 &isin; A<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(v)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2 &isin; A<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(vi)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10 &notin; A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 3<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Write the following in roster form.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(i)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mo>&minus;<\/mo><mn>3<\/mn><mo>&le;<\/mo><mi>x<\/mi><mo>&lt;<\/mo><mn>7<\/mn><mo separator=\"true\">,<\/mo><mi>x<\/mi><mo>&isin;<\/mo><mi>Z<\/mi><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">A=\\{x:-3\\le x&lt;7,x\\in Z\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A = {&minus;3,&minus;2,&minus;1,0,1,2,3,4,5,6}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(ii)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mtext>&nbsp;is&nbsp;natural&nbsp;number&nbsp;less&nbsp;than&nbsp;<\/mtext><mn>6<\/mn><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">B=\\{x:x\\text{ is natural number less than }6\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>B = {1,2,3,4,5}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(iii)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Two-digit natural numbers whose digits sum to 8.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C = {17,26,35,44,53,62,71,80}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(iv)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Prime divisors of 60.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>D = {2,3,5}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(v)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Letters in TRIGONOMETRY<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>E = {T,R,I,G,O,N,M,E,Y}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(vi)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Letters in BETTER<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>F = {B,E,T,R}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Write in set-builder form.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(i)<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>{3,6,9,12}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>=<\/mo><mn>3<\/mn><mi>n<\/mi><mo separator=\"true\">,<\/mo><mi>n<\/mi><mo>&isin;<\/mo><mi>N<\/mi><mo separator=\"true\">,<\/mo><mn>1<\/mn><mo>&le;<\/mo><mi>n<\/mi><mo>&le;<\/mo><mn>4<\/mn><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">A=\\{x:x=3n,n\\in N,1\\le n\\le4\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(ii)<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>{2,4,8,16,32}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>=<\/mo><msup><mn>2<\/mn><mi>n<\/mi><\/msup><mo separator=\"true\">,<\/mo><mi>n<\/mi><mo>=<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>3<\/mn><mo separator=\"true\">,<\/mo><mn>4<\/mn><mo separator=\"true\">,<\/mo><mn>5<\/mn><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">B=\\{x:x=2^n,n=1,2,3,4,5\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(iii)<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>{5,25,125,625}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>C<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>=<\/mo><msup><mn>5<\/mn><mi>n<\/mi><\/msup><mo separator=\"true\">,<\/mo><mi>n<\/mi><mo>=<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>3<\/mn><mo separator=\"true\">,<\/mo><mn>4<\/mn><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">C=\\{x:x=5^n,n=1,2,3,4\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">List all elements.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(i)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Odd natural numbers<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A = {1,3,5,7,9,...}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(ii)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Integers satisfying:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>&lt;<\/mo><mi>x<\/mi><mo>&lt;<\/mo><mfrac><mn>9<\/mn><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">-\\frac12&lt;x&lt;\\frac92<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>B = {0,1,2,3,4}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(iii)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Integers satisfying:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&le;<\/mo><mn>4<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x^2\\le4<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C = {&minus;2,&minus;1,0,1,2}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(iv)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Letters in LOYAL<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>D = {L,O,Y,A}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">(v)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Months not having 31 days<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>E = {February, April, June, September, November}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 6<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Match the sets.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">(i)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>{1,2,3,6} &rarr; divisors of 6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(ii)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>{2,3} &rarr; prime divisors of 6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(iii)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>{M,A,T,H,E,I,C,S} &rarr; letters of MATHEMATICS<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">(iv)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>{1,3,5,7,9} &rarr; odd natural numbers less than 10<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Repeating elements in roster form<\/li>\n\n\n\n<li>Confusing &isin; and &sub;<\/li>\n\n\n\n<li>Writing incorrect set-builder notation<\/li>\n\n\n\n<li>Ignoring distinct elements<\/li>\n\n\n\n<li>Using undefined collections as sets<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Learn proper symbols carefully.<\/li>\n\n\n\n<li>Practice roster and set-builder conversion.<\/li>\n\n\n\n<li>Memorize standard set notations.<\/li>\n\n\n\n<li>Draw Venn diagrams for clarity.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Which is a well-defined collection?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. Beautiful flowers<br>B. Best students<br>C. Prime numbers less than 20<br>D. Intelligent boys<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C. Prime numbers less than 20<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Which symbol denotes &ldquo;belongs to&rdquo;?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. &sub;<br>B. &isin;<br>C. &cup;<br>D. &cap;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. &isin;<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Set of vowels is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>{a,e,i,o,u}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">What is a set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A well-defined collection of objects is called a set.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">What is roster form?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Listing all elements inside braces.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">What is an empty set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A set having no element.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">What is subset?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If every element of A belongs to B, then A is subset of B.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<p class=\"wp-block-paragraph\">&#128216; Prepare Smarter with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Chapter-wise NCERT Solutions<br>&#9989; Important Notes &amp; MCQs<br>&#9989; Online Mock Tests<br>&#9989; Instant Result &amp; Analysis<br>&#9989; CBSE Board Preparation<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on <a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/www.mymockmate.com?utm_source=chatgpt.com\">MyMockMate<\/a><\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1903?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">12<\/span><\/div><div class=\"mymoc-bottom mymoc-entity-placement\" id=\"mymoc-4035546575\"><div id=\"mymoc-2804308363\"><a href=\"https:\/\/amzn.to\/4ehRB6n\" aria-label=\"printers\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/printers.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/printers.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/printers-300x73.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/printers-1024x250.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/printers-768x187.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"318\"><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p> 12 Short Intro In this post, students can find complete step-by-step solutions for Class 11 Maths Chapter 1 Exercise 2.1 &ndash; Sets based on&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1904,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":""},"categories":[6,9],"tags":[286,302,285,301,298,292,293,85,78,290,304,291,297,306,62,308,159,47,288,289,300,305,309,307,287,303,294,296,295,299],"class_list":["post-1903","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-11","category-maths-class-11","tag-cbse-class-11-maths","tag-cbse-maths-preparation","tag-class-11-maths","tag-class-11-maths-notes","tag-difference-of-sets","tag-empty-set","tag-equal-sets","tag-exercise-2-1-ncert-solutions","tag-exercise-2-1-solutions","tag-finite-sets","tag-important-questions-sets","tag-infinite-sets","tag-intersection-of-sets","tag-mathematical-sets","tag-maths-chapter-1-solutions","tag-mymockmate","tag-ncert-maths-notes","tag-ncert-solutions","tag-roster-form","tag-set-builder-form","tag-set-operations","tag-set-theory-basics","tag-sets","tag-sets-and-relations","tag-sets-chapter-1","tag-sets-mcqs","tag-subsets","tag-union-of-sets","tag-universal-set","tag-venn-diagram"],"featured_image_src":"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/Sets-Exercise-1.1-Solutions-Class-11-Maths-NCERT.png","author_info":{"display_name":"Team Mymockmate","author_link":"https:\/\/mymockmate.com\/notes\/author\/bsm_adm\/"},"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1903","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1903"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1903\/revisions"}],"predecessor-version":[{"id":1905,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1903\/revisions\/1905"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1904"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}