{"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":"\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 \u2013 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>\u222a<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>\u2208<\/mo><mi>A<\/mi><mtext>&nbsp;or&nbsp;<\/mtext><mi>x<\/mi><mo>\u2208<\/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>\u2229<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>\u2208<\/mo><mi>A<\/mi><mtext>&nbsp;and&nbsp;<\/mtext><mi>x<\/mi><mo>\u2208<\/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>\u2212<\/mo><mi>B<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mi>x<\/mi><mo>:<\/mo><mi>x<\/mi><mo>\u2208<\/mo><mi>A<\/mi><mtext>&nbsp;and&nbsp;<\/mtext><mi>x<\/mi><mo mathvariant=\"normal\">\u2209<\/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\">\u2032<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><mo>\u2212<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A&#8217;=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<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 \u201ctalented\u201d 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<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>\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<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 \u2208 or \u2209.<\/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 \u2208 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 \u2209 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 \u2209 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 \u2208 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 \u2208 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 \u2209 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>\u2212<\/mo><mn>3<\/mn><mo>\u2264<\/mo><mi>x<\/mi><mo>&lt;<\/mo><mn>7<\/mn><mo separator=\"true\">,<\/mo><mi>x<\/mi><mo>\u2208<\/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 = {\u22123,\u22122,\u22121,0,1,2,3,4,5,6}<\/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>\u2208<\/mo><mi>N<\/mi><mo separator=\"true\">,<\/mo><mn>1<\/mn><mo>\u2264<\/mo><mi>n<\/mi><mo>\u2264<\/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>\u2212<\/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>\u2264<\/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 = {\u22122,\u22121,0,1,2}<\/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} \u2192 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} \u2192 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} \u2192 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} \u2192 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 \u2208 and \u2282<\/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 \u201cbelongs to\u201d?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. \u2282<br>B. \u2208<br>C. \u222a<br>D. \u2229<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. \u2208<\/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\">\ud83d\udcd8 Prepare Smarter with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Chapter-wise NCERT Solutions<br>\u2705 Important Notes &amp; MCQs<br>\u2705 Online Mock Tests<br>\u2705 Instant Result &amp; Analysis<br>\u2705 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\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p>Short Intro In this post, students can find complete step-by-step solutions for Class 11 Maths Chapter 1 Exercise<\/p>\n","protected":false},"author":1,"featured_media":1904,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_angie_page":false,"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"page_builder":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,9,135],"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","category-sets","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"],"jetpack_publicize_connections":[],"_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}]}}