{"id":1912,"date":"2026-05-22T12:27:06","date_gmt":"2026-05-22T12:27:06","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1912"},"modified":"2026-05-22T12:27:10","modified_gmt":"2026-05-22T12:27:10","slug":"class-11-maths-exercise-1-4-solutions-sets","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/class-11-maths-exercise-1-4-solutions-sets\/","title":{"rendered":"Class 11 Maths Exercise 1.4 Solutions \u2013 Sets"},"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\">Class 11 Maths Chapter 1 \u201cSets\u201d Exercise 1.4 focuses on Union, Intersection, Difference of Sets and Disjoint Sets. In this article, students will get complete NCERT solutions with step-by-step explanations in simple language for better exam preparation. These questions are very important for CBSE Board Exams, School Tests and Competitive Exams.<\/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>Particular<\/th><th>Details<\/th><\/tr><\/thead><tbody><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>1.4<\/td><\/tr><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Main Topics<\/td><td>Union, Intersection, Difference of Sets<\/td><\/tr><tr><td>Difficulty Level<\/td><td>Easy to Moderate<\/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>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>Disjoint Sets<\/li>\n\n\n\n<li>Universal Set<\/li>\n\n\n\n<li>Venn Diagram Concepts<\/li>\n\n\n\n<li>Set Operations<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">According to the NCERT chapter, union means combining elements of both sets, while intersection means common elements.<\/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<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<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<h2 class=\"wp-block-heading\">Disjoint 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><mi>\u03d5<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap B=\\phi<\/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\">Find the union of each of the following pairs of sets.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Given:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X = {1, 3, 5}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Y = {1, 2, 3}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Union means all distinct elements from both sets.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X \u222a Y = {1, 2, 3, 5}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A = {a, e, i, o, u}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {a, b, c}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = {a, e, i, o, u, b, c}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A = {Multiples of 3}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {Natural numbers less than 6}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A = {3, 6, 9, 12, \u2026}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {1, 2, 3, 4, 5}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = {1, 2, 3, 4, 5, 6, 9, 12, \u2026}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(iv)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A = {x : 1 &lt; x \u2264 6}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {x : 6 &lt; x &lt; 10}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A = {2, 3, 4, 5, 6}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {7, 8, 9}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = {2, 3, 4, 5, 6, 7, 8, 9}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(v)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A = {1, 2, 3}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = \u03c6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Union of any set with null set is the set itself.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = {1, 2, 3}<\/p>\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 A = {a, b}, B = {a, b, c}. Is A \u2282 B ? What is A \u222a B ?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Every element of A is present in B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2282 B<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = {a, b, c}<\/p>\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\">If A and B are two sets such that A \u2282 B, then what is A \u222a B ?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If A is a subset of B, then all elements of A are already present in B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a B = B<\/p>\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\">Given:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = {1, 2, 3, 4}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {3, 4, 5, 6}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C = {5, 6, 7, 8}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D = {7, 8, 9, 10}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i) A \u222a B<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {1, 2, 3, 4, 5, 6}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii) A \u222a C<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {1, 2, 3, 4, 5, 6, 7, 8}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii) B \u222a C<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {3, 4, 5, 6, 7, 8}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iv) B \u222a D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {3, 4, 5, 6, 7, 8, 9, 10}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(v) A \u222a B \u222a C<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {1, 2, 3, 4, 5, 6, 7, 8}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(vi) A \u222a B \u222a D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(vii) B \u222a C \u222a D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {3, 4, 5, 6, 7, 8, 9, 10}<\/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\">Find the intersection of each pair of sets of Question 1.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">X \u2229 Y = {1, 3}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 B = {a}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 B = {3}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iv)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 B = \u03c6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(v)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 \u03c6 = \u03c6<\/p>\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\">Given:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = {3, 5, 7, 9, 11}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {7, 9, 11, 13}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C = {11, 13, 15}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D = {15, 17}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i) A \u2229 B<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {7, 9, 11}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii) B \u2229 C<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {11, 13}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii) A \u2229 C \u2229 D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= \u03c6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iv) A \u2229 C<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= {11}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(v) B \u2229 D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= \u03c6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(vi) A \u2229 (B \u222a C)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">B \u222a C = {7, 9, 11, 13, 15}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 (B \u222a C) = {7, 9, 11}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(vii) A \u2229 D<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">= \u03c6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(viii) A \u2229 (B \u222a D)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">B \u222a D = {7, 9, 11, 13, 15, 17}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u2229 (B \u222a D) = {7, 9, 11}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ix)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">(A \u2229 B) \u2229 (B \u222a C)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= {7, 9, 11}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(x)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">(A \u222a D) \u2229 (B \u222a C)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u222a D = {3, 5, 7, 9, 11, 15, 17}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B \u222a C = {7, 9, 11, 13, 15}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= {7, 9, 11, 15}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 7<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">A = Natural Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = Even Natural Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C = Odd Natural Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D = Prime Numbers<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Answers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">(i) A \u2229 B = Even Natural Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(ii) A \u2229 C = Odd Natural Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(iii) A \u2229 D = Prime Numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(iv) B \u2229 C = \u03c6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(v) B \u2229 D = {2}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(vi) C \u2229 D = {3, 5, 7, 11, \u2026}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 8<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Which pairs are disjoint sets?<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Common element = 4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Not disjoint<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Common element = e<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Not disjoint<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Even integers and odd integers have no common element.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">They are disjoint sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 9<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Given:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = {3, 6, 9, 12, 15, 18, 21}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B = {4, 8, 12, 16, 20}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C = {2, 4, 6, 8, 10, 12, 14, 16}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D = {5, 10, 15, 20}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Answers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">(i) A \u2013 B = {3, 6, 9, 15, 18, 21}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(ii) A \u2013 C = {3, 9, 15, 18, 21}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(iii) A \u2013 D = {3, 6, 9, 12, 18, 21}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(iv) B \u2013 A = {4, 8, 16, 20}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(v) C \u2013 A = {2, 4, 8, 10, 14, 16}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(vi) D \u2013 A = {5, 10, 20}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(vii) B \u2013 C = {20}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(viii) B \u2013 D = {4, 8, 12, 16}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(ix) C \u2013 B = {2, 6, 10, 14}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x) D \u2013 B = {5, 10, 15}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(xi) C \u2013 D = {2, 4, 6, 8, 12, 14, 16}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(xii) D \u2013 C = {5, 10, 15, 20}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 10<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">X = {a, b, c, d}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Y = {f, b, d, g}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">X \u2013 Y = {a, c}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Y \u2013 X = {f, g}<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">X \u2229 Y = {b, d}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 11<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If R is set of real numbers and Q is set of rational numbers, then:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R \u2013 Q = Irrational Numbers<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 12<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">State True or False.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">False<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Because 3 is common.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">False<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Because a is common.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">True<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">No common element.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(iv)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">True<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">No common element.<\/p>\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 while writing union.<\/li>\n\n\n\n<li>Forgetting common elements in intersection.<\/li>\n\n\n\n<li>Confusing A \u2013 B with B \u2013 A.<\/li>\n\n\n\n<li>Writing repeated elements in sets.<\/li>\n\n\n\n<li>Forgetting that \u03c6 union A = A.<\/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>Always write distinct elements only once.<\/li>\n\n\n\n<li>Use curly brackets properly.<\/li>\n\n\n\n<li>Learn formulas of union and intersection.<\/li>\n\n\n\n<li>Solve questions using Venn diagrams for better understanding.<\/li>\n\n\n\n<li>Practice difference of sets carefully.<\/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\">1. If A = {1,2,3} and B = {3,4,5}, then A \u2229 B is:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) {1,2}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) {3}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) {4,5}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) \u03c6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">B) {3}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">2. If A \u2282 B, then A \u222a B equals:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) A<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) \u03c6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) B<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) None<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">C) B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">3. Two sets are disjoint if:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) They are equal<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) They have common elements<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) Their intersection is \u03c6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) Their union is \u03c6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">C) Their intersection is \u03c6<\/p>\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\">Q1. What is union of sets?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Union means combining all elements of both sets without repetition.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q2. What is intersection of sets?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Intersection means common elements between two sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q3. What are disjoint sets?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sets having no common element are called disjoint sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q4. What is null set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A set having no element is called null set or empty set.<\/p>\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 Class 11 Maths Chapter 1 \u201cSets\u201d Exercise 1.4 focuses on Union, Intersection, Difference of Sets and<\/p>\n","protected":false},"author":1,"featured_media":1913,"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":[187,286,285,301,335,329,298,332,328,327,326,304,297,306,62,308,159,47,330,334,300,305,309,287,303,331,296,299,333],"class_list":["post-1912","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-11","category-maths-class-11","category-sets","tag-cbse-board-maths-preparation","tag-cbse-class-11-maths","tag-class-11-maths","tag-class-11-maths-notes","tag-class-11-sets-solutions","tag-complement-of-sets","tag-difference-of-sets","tag-difference-of-sets-questions","tag-disjoint-sets","tag-exercise-1-4-ncert-solutions","tag-exercise-1-4-solutions","tag-important-questions-sets","tag-intersection-of-sets","tag-mathematical-sets","tag-maths-chapter-1-solutions","tag-mymockmate","tag-ncert-maths-notes","tag-ncert-solutions","tag-properties-of-sets","tag-set-identities","tag-set-operations","tag-set-theory-basics","tag-sets","tag-sets-chapter-1","tag-sets-mcqs","tag-union-and-intersection","tag-union-of-sets","tag-venn-diagram","tag-venn-diagram-questions"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1912","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=1912"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1912\/revisions"}],"predecessor-version":[{"id":1914,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1912\/revisions\/1914"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1913"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1912"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1912"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1912"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}