{"id":4579,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/"},"modified":"2016-05-17T10:30:32","modified_gmt":"2016-05-17T05:00:32","slug":"ncert-solutions-class-11-maths-exercise-1-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 1.4"},"content":{"rendered":"

Exercise 1.4<\/strong><\/p>\n

1. Find the union of each of the following pairs of sets:<\/strong><\/p>\n

(i) X = {1, 3, 5} and Y = {1, 2, 3}<\/strong><\/p>\n

(ii) A = <\/strong> and B = <\/strong><\/p>\n

(iii) A = {<\/strong> is a natural number and multiple of 3} and B = {<\/strong> is a natural number less than 6}<\/strong><\/p>\n

(iv) A = {<\/strong> is a natural number and <\/strong>} and B = {<\/strong> is a natural number and <\/strong>}<\/strong><\/p>\n

(v) A = {1, 2, 3} and B = <\/strong><\/p>\n

Ans. (i) <\/strong>X Y = {1, 2, 3, 5}<\/p>\n

(ii) <\/strong>A B = <\/p>\n

(iii) <\/strong>A B = {1, 2, 3, 4, 5, 6, 9, 12, 15, \u2026\u2026\u2026..}<\/p>\n

(iv) <\/strong>A B = {2, 3, 4, 5, 6, 7, 8, 9}<\/p>\n

(v) <\/strong>A B = {1, 2, 3}<\/p>\n

\n

2. Let A = <\/strong> and B = <\/strong>. Is A <\/strong> B? What is A <\/strong> B?<\/strong><\/p>\n

Ans. <\/strong>Given: A = and B = .<\/p>\n

Here all elements of set A are present in set B.<\/p>\n

A B and A B = = B<\/p>\n

\n

3. If A and B are two sets such that A <\/strong> B, then what is A <\/strong> B?<\/strong><\/p>\n

Ans. <\/strong>Given: A and B are two sets such that A B<\/p>\n

Taking A = {1, 2} and B = {1, 2, 3}, then A B = {1, 2, 3} = B<\/p>\n

\n

4. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find:<\/strong><\/p>\n

(i) A B <\/strong><\/p>\n

(ii) A C <\/strong><\/p>\n

(iii) B C <\/strong><\/p>\n

(iv) B D <\/strong><\/p>\n

(v) A B C <\/strong><\/p>\n

(vi) A B D<\/strong><\/p>\n

(vii) B C D<\/strong><\/p>\n

Ans. <\/strong>Given: A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C<\/p>\n

= {5, 6, 7, 8} and D = {7, 8, 9, 10}<\/p>\n

(i) <\/strong>A B = {1, 2, 3, 4} {3, 4, 5, 6}<\/p>\n

= {1, 2, 3, 4, 5, 6}<\/p>\n

(ii) <\/strong>A C = {1, 2, 3, 4} {5, 6, 7, 8}<\/p>\n

= {1, 2, 3, 4, 5, 6, 7, 8}<\/p>\n

(iii) <\/strong>B C = {3, 4, 5, 6} {5, 6, 7, 8}<\/p>\n

= {3, 4, 5, 6, 7, 8}<\/p>\n

(iv) <\/strong>B D = {3, 4, 5, 6} {7, 8, 9, 10}<\/p>\n

= {3, 4, 5, 6, 7, 8, 9, 10}<\/p>\n

(v) <\/strong>A B C = {1, 2, 3, 4} {3, 4, 5, 6} {5, 6, 7, 8}<\/p>\n

= {1, 2, 3, 4, 5, 6, 7, 8}<\/p>\n

(vi) <\/strong>A B D = {1, 2, 3, 4} {3, 4, 5, 6} {7, 8, 9, 10}<\/p>\n

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<\/p>\n

(vii) <\/strong>B C D = {3, 4, 5, 6} {5, 6, 7, 8} {7, 8, 9, 10}<\/p>\n

= {3, 4, 5, 6, 7, 8, 9, 10}<\/p>\n

\n

5. Find the intersections of each pair of sets of question 1 above.<\/strong><\/p>\n

Ans. (i) <\/strong>X Y = {1, 3}<\/p>\n

(ii) <\/strong>A B = <\/p>\n

(iii) <\/strong>A B = {3, 6, 9, 12, \u2026\u2026\u2026..}<\/p>\n

(iv) <\/strong>A B = <\/p>\n

(v) <\/strong>A B = <\/p>\n

\n

6. If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find:<\/strong><\/p>\n

(i) A B <\/strong><\/p>\n

(ii) B C <\/strong><\/p>\n

(iii) A C D <\/strong><\/p>\n

(iv) A C <\/strong><\/p>\n

(v) B D <\/strong><\/p>\n

(vi) A (B C)<\/strong><\/p>\n

(vii) A D <\/strong><\/p>\n

(viii) A (B D) <\/strong><\/p>\n

(ix) (A B) (B C) <\/strong><\/p>\n

(x) (A D) (B C)<\/strong><\/p>\n

Ans. <\/strong>Given: A = {3, 5, 7, 9, 11},<\/p>\n

B = {7, 9, 11, 13},<\/p>\n

C = {11, 13, 15} and D = {15, 17}<\/p>\n

(i) <\/strong>A B = {3, 5, 7, 9, 11} {7, 9, 11, 13}<\/p>\n

= {7, 9, 11}<\/p>\n

(ii) <\/strong>B C = {7, 9, 11, 13} {11, 13, 15}<\/p>\n

= {11, 13}<\/p>\n

(iii) <\/strong>A C D<\/p>\n

= {3, 5, 7, 9, 11} {11, 13, 15} {15, 17} = <\/p>\n

(iv) <\/strong>A C = {3, 5, 7, 9, 11} {11, 13, 15}<\/p>\n

= {11}<\/p>\n

(v) <\/strong>B D = {7, 9, 11, 13} {15, 17} = <\/p>\n

(vi) <\/strong>A (B C)<\/p>\n

= {3, 5, 7, 9, 11} ({7, 9, 11, 13} {11, 13, 15})<\/p>\n

= {3, 5, 7, 9, 11} {7, 9, 11, 13, 15, 17} = {7, 9, 11}<\/p>\n

(vii) <\/strong>A C = {3, 5, 7, 9, 11} {15, 17} = <\/p>\n

(viii) <\/strong>A (B D)<\/p>\n

= {3, 5, 7, 9, 11} ({7, 9, 11, 13} {15, 17})<\/p>\n

= {3, 5, 7, 9, 11} {7, 9, 11, 13, 15, 17}<\/p>\n

= {7, 9, 11}<\/p>\n

(ix) <\/strong>(A B) (B C)<\/p>\n

= ({3, 5, 7, 9, 11} {7, 9, 11, 13}) ({7, 9, 11, 13} {11, 13, 15})<\/p>\n

= {7, 9, 11} {7, 9, 11, 13, 15} = {7, 9, 11}<\/p>\n

(x) <\/strong>(A D) (B C)<\/p>\n

= ({3, 5, 7, 9, 11} {15, 17}) ({7, 9, 11, 13} {11, 13, 15})<\/p>\n

= {3, 5, 7, 9, 11, 15, 17} {7, 9, 11, 13, 15}<\/p>\n

= {7, 9, 11, 15}<\/p>\n

\n

7. If A = {<\/strong> is a natural number}, B = {<\/strong> is an even natural number}, C = {<\/strong> is an odd natural number} and D = {<\/strong> is a prime number}, find:<\/strong><\/p>\n

(i) A B <\/strong><\/p>\n

(ii) A C <\/strong><\/p>\n

(iii) A D <\/strong><\/p>\n

(iv) B C <\/strong><\/p>\n

(v) B D <\/strong><\/p>\n

(vi) C D <\/strong><\/p>\n

Ans. (i) <\/strong>A B = { is a natural number} { is an even natural number} = B<\/p>\n

(ii) <\/strong>A C = { is a natural number} { is an odd natural number} = C<\/p>\n

(iii) <\/strong>A D = { is a natural number} { is a prime number} = D<\/p>\n

(iv) <\/strong>B C = { is an even natural number} { is an odd natural number} = <\/p>\n

(v) <\/strong>B D = B C = { is an even natural number} { is a prime number} = {2}<\/p>\n

(vi) <\/strong>C D = { is an odd natural number} { is a prime number}<\/p>\n

= { is an odd prime number}<\/p>\n

\n

8. Which of the following pair of sets are disjoint:<\/strong><\/p>\n

(i) {1, 2, 3, 4} and {<\/strong> is a natural number and <\/strong>}<\/strong><\/p>\n

(ii) <\/strong> and <\/strong><\/p>\n

(iii) {<\/strong> is an even integer} and {<\/strong> is an odd integer}<\/strong><\/p>\n

Ans. (i) <\/strong>Let A = {1, 2, 3, 4} and B = { is a natural number and } = {4, 5, 6}<\/p>\n

A B = {4}<\/p>\n

Therefore, A and B are not disjoint.<\/p>\n

(ii) <\/strong>Let A = and B = <\/p>\n

A B = <\/p>\n

Therefore, A and B are disjoint.<\/p>\n

(iii) <\/strong>Let A = { is an even integer} and B = { is an odd integer}<\/p>\n

A B = <\/p>\n

Therefore, A and B are disjoint.<\/p>\n

\n

9. If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12 , 14, 16}, D = {5, 10, 15, 20}; find:<\/strong><\/p>\n

(i) A \u2013 B <\/strong><\/p>\n

(ii) A \u2013 C <\/strong><\/p>\n

(iii) A \u2013 D <\/strong><\/p>\n

(iv) B \u2013 A <\/strong><\/p>\n

(v) C \u2013 A <\/strong><\/p>\n

(vi) D \u2013 A <\/strong><\/p>\n

(vii) B \u2013 C <\/strong><\/p>\n

(viii) B \u2013 D <\/strong><\/p>\n

(ix) C \u2013 B <\/strong><\/p>\n

(x) D \u2013 B <\/strong><\/p>\n

(xi) C \u2013 D <\/strong><\/p>\n

(xii) D \u2013 C <\/strong><\/p>\n

Ans. <\/strong>Given: A = {3, 6, 9, 12, 15, 18, 21},<\/p>\n

B = {4, 8, 12, 16, 20},<\/p>\n

C = {2, 4, 6, 8, 10, 12 , 14, 16},<\/p>\n

D = {5, 10, 15, 20};<\/p>\n

(i) <\/strong>A \u2013 B = {3, 6, 9, 12, 15, 18, 21} \u2013 {4, 8, 12, 16, 20}<\/p>\n

= {3, 6, 9, 15, 18, 21}<\/p>\n

(ii) <\/strong>A \u2013 B = {3, 6, 9, 12, 15, 18, 21} \u2013 {2, 4, 6, 8, 10, 12 , 14, 16}<\/p>\n

= {3, 9, 15, 18, 21}<\/p>\n

(iii) <\/strong>A \u2013 B = {3, 6, 9, 12, 15, 18, 21} \u2013 {5, 10, 15, 20}<\/p>\n

= {3, 6, 9, 15, 18, 21}<\/p>\n

(iv) <\/strong>B \u2013 A = {4, 8, 12, 16, 20} \u2013 {3, 6, 9, 12, 15, 18, 21}<\/p>\n

= {4, 8, 16, 20}<\/p>\n

(v) <\/strong>C \u2013 A = {2, 4, 6, 8, 10, 12 , 14, 16} \u2013 {3, 6, 9, 12, 15, 18, 21}<\/p>\n

= {2, 4, 8, 14, 16}<\/p>\n

(vi) <\/strong>D \u2013 A = {5, 10, 15, 20} \u2013 {3, 6, 9, 12, 15, 18, 21}<\/p>\n

= {5, 10, 20}<\/p>\n

(vii) <\/strong>B \u2013 C = {4, 8, 12, 16, 20} \u2013 {2, 4, 6, 8, 10, 12 , 14, 16} = {20}<\/p>\n

(viii) <\/strong>B \u2013 D = {4, 8, 12, 16, 20} \u2013 {5, 10, 15, 20}<\/p>\n

= {4, 8, 12, 16}<\/p>\n

(ix) <\/strong>C \u2013 B = {2, 4, 6, 8, 10, 12 , 14, 16} \u2013 {4, 8, 12, 16, 20}<\/p>\n

= {2, 6, 10, 14}<\/p>\n

(x) <\/strong>D \u2013 B = {5, 10, 15, 20} \u2013 {4, 8, 12, 16, 20}<\/p>\n

= {5, 10, 15}<\/p>\n

(xi) <\/strong>C \u2013 D = {2, 4, 6, 8, 10, 12 , 14, 16} \u2013 {5, 10, 15, 20}<\/p>\n

= {2, 4, 6, 8, 12, 14, 16}<\/p>\n

(xii) <\/strong>D \u2013 C = {5, 10, 15, 20} \u2013 {2, 4, 6, 8, 10, 12 , 14, 16}<\/p>\n

= {5, 15, 20}<\/p>\n

\n

10. If X = <\/strong> and Y = <\/strong> find:<\/strong><\/p>\n

(i) X \u2013 Y <\/strong><\/p>\n

(ii) Y \u2013 X <\/strong><\/p>\n

(iii) X <\/strong> Y<\/strong><\/p>\n

Ans. <\/strong>Given: X = and Y = <\/p>\n

(i) <\/strong>X \u2013 Y = = <\/p>\n

(ii) <\/strong>Y \u2013 X = = <\/p>\n

(iii) <\/strong>X Y = = <\/p>\n

\n

11. If R is the set of real numbers and Q is the set of rational numbers, then what is R \u2013 Q?<\/strong><\/p>\n

Ans. <\/strong>We know that set of real numbers contain rational and irrational numbers.<\/p>\n

Therefore, R \u2013 Q = set of irrational numbers.<\/p>\n

\n

12. State whether each of the following statements is true or false. Justify your answer.<\/strong><\/p>\n

(i) {2, 3, 4, 5} and {3, 6} are disjoint sets.<\/strong><\/p>\n

(ii) <\/strong> and <\/strong> are disjoint sets.<\/strong><\/p>\n

(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.<\/strong><\/p>\n

(iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.<\/strong><\/p>\n

Ans. (i) <\/strong>Let A = {2, 3, 4, 5} and B = {3, 6}<\/p>\n

A B = {3}<\/p>\n

A and B are not disjoint. Therefore, statement is false.<\/p>\n

(ii) <\/strong>Let A = and B = <\/p>\n

A B = <\/p>\n

A and B are not disjoint. Therefore, statement is false.<\/p>\n

(iii) <\/strong>Let A = {2, 6, 10, 14} and B = {3, 7, 11, 15}<\/p>\n

A B = <\/p>\n

A and B are disjoint. Therefore, statement is true.<\/p>\n

(iv) <\/strong>Let A = {2, 6, 10} and B = {3, 7, 11}<\/p>\n

A B = <\/p>\n

A and B are disjoint. Therefore, statement is true.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 1.4 1. Find the union of each of the following pairs of sets: (i) X = {1, 3, 5} and Y = {1, 2, 3} (ii) A = and B = (iii) A = { is a natural number and multiple of 3} and B = { is a natural number less than 6} … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4579","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 1.4 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\" \/>\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 Exercise 1.4 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 1.4 1. Find the union of each of the following pairs of sets: (i) X = {1, 3, 5} and Y = {1, 2, 3} (ii) A = and B = (iii) A = { is a natural number and multiple of 3} and B = { is a natural number less than 6} ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\" \/>\n<meta property=\"og:site_name\" content=\"myCBSEguide\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mycbseguide\/\" \/>\n<meta property=\"article:published_time\" content=\"2016-05-17T04:19:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-05-17T05:00:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png\" \/>\n<meta name=\"author\" content=\"myCBSEguide\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:site\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"myCBSEguide\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\"},\"headline\":\"NCERT Solutions class-11 Maths Exercise 1.4\",\"datePublished\":\"2016-05-17T04:19:00+00:00\",\"dateModified\":\"2016-05-17T05:00:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\"},\"wordCount\":784,\"commentCount\":2,\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png\",\"articleSection\":[\"Class 11\",\"NCERT Solutions\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\",\"name\":\"NCERT Solutions class-11 Maths Exercise 1.4 | myCBSEguide\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png\",\"datePublished\":\"2016-05-17T04:19:00+00:00\",\"dateModified\":\"2016-05-17T05:00:32+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage\",\"url\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png\",\"contentUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mycbseguide.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"CBSE\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Class 11\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"NCERT Solutions class-11 Maths Exercise 1.4\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"name\":\"myCBSEguide\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\",\"name\":\"myCBSEguide\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"width\":180,\"height\":180,\"caption\":\"myCBSEguide\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/mycbseguide\/\",\"https:\/\/x.com\/mycbseguide\",\"https:\/\/www.linkedin.com\/company\/mycbseguide\/\",\"http:\/\/in.pinterest.com\/mycbseguide\/\",\"https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\",\"name\":\"myCBSEguide\",\"sameAs\":[\"http:\/\/mycbseguide.com\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions class-11 Maths Exercise 1.4 | myCBSEguide","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:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions class-11 Maths Exercise 1.4 | myCBSEguide","og_description":"Exercise 1.4 1. Find the union of each of the following pairs of sets: (i) X = {1, 3, 5} and Y = {1, 2, 3} (ii) A = and B = (iii) A = { is a natural number and multiple of 3} and B = { is a natural number less than 6} ... Read more","og_url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/","og_site_name":"myCBSEguide","article_publisher":"https:\/\/www.facebook.com\/mycbseguide\/","article_published_time":"2016-05-17T04:19:00+00:00","article_modified_time":"2016-05-17T05:00:32+00:00","og_image":[{"url":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png","type":"","width":"","height":""}],"author":"myCBSEguide","twitter_card":"summary_large_image","twitter_creator":"@mycbseguide","twitter_site":"@mycbseguide","twitter_misc":{"Written by":"myCBSEguide","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#article","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/"},"author":{"name":"myCBSEguide","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65"},"headline":"NCERT Solutions class-11 Maths Exercise 1.4","datePublished":"2016-05-17T04:19:00+00:00","dateModified":"2016-05-17T05:00:32+00:00","mainEntityOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/"},"wordCount":784,"commentCount":2,"publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png","articleSection":["Class 11","NCERT Solutions"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/","url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/","name":"NCERT Solutions class-11 Maths Exercise 1.4 | myCBSEguide","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png","datePublished":"2016-05-17T04:19:00+00:00","dateModified":"2016-05-17T05:00:32+00:00","breadcrumb":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#primaryimage","url":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png","contentUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.4\/image001.png"},{"@type":"BreadcrumbList","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-4\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mycbseguide.com\/blog\/"},{"@type":"ListItem","position":2,"name":"CBSE","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/"},{"@type":"ListItem","position":3,"name":"Class 11","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/"},{"@type":"ListItem","position":4,"name":"NCERT Solutions class-11 Maths Exercise 1.4"}]},{"@type":"WebSite","@id":"https:\/\/mycbseguide.com\/blog\/#website","url":"https:\/\/mycbseguide.com\/blog\/","name":"myCBSEguide","description":"","publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mycbseguide.com\/blog\/#organization","name":"myCBSEguide","url":"https:\/\/mycbseguide.com\/blog\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","width":180,"height":180,"caption":"myCBSEguide"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/mycbseguide\/","https:\/\/x.com\/mycbseguide","https:\/\/www.linkedin.com\/company\/mycbseguide\/","http:\/\/in.pinterest.com\/mycbseguide\/","https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ"]},{"@type":"Person","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65","name":"myCBSEguide","sameAs":["http:\/\/mycbseguide.com"]}]}},"_links":{"self":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/comments?post=4579"}],"version-history":[{"count":1,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4579\/revisions"}],"predecessor-version":[{"id":6379,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4579\/revisions\/6379"}],"wp:attachment":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media?parent=4579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/categories?post=4579"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/tags?post=4579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}