{"id":4991,"date":"2023-02-14T03:07:53","date_gmt":"2023-02-13T21:37:53","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=4991"},"modified":"2023-03-29T16:05:02","modified_gmt":"2023-03-29T10:35:02","slug":"ap-ssc-10th-class-maths-solutions-chapter-2-ex-2-2","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-ssc-10th-class-maths-solutions-chapter-2-ex-2-2\/","title":{"rendered":"AP SSC 10th Class Maths Solutions Chapter 2 Sets Ex 2.2"},"content":{"rendered":"

AP State Board Syllabus\u00a0AP SSC 10th Class Maths Textbook Solutions<\/a> Chapter 2 Sets Ex 2.2 Textbook Questions and Answers.<\/p>\n

AP State Syllabus SSC 10th Class Maths Solutions 2nd Lesson Sets Exercise 2.2<\/h2>\n

10th Class Maths 2nd Lesson Sets Ex 2.2 Textbook Questions and Answers<\/h2>\n

Question 1.
\nIf A = {1, 2, 3, 4}; B = {1, 2, 3, 5, 6} then find A \u2229 B and B \u2229 A. Are they equal ?
\nAnswer:
\nGiven sets are A = {1, 2, 3, 4} and B = {1,2,3, 5,6}
\nA \u2229 B = {1,2, 3,4} \u2229 {1,2, 3, 5, 6}
\n= {1,2,3} …… (1)
\nB \u2229 A = {1, 2, 3, 5, 6} \u2229 {1, 2, 3, 4}
\n= {1,2,3} …….(2)
\nFrom (1) and (2)
\nA \u2229 B and B \u2229 A are same.<\/p>\n

Question 2.
\nA = {0, 2, 4}, find A \u2229 \u03c6 and A \u2229 A. Comment.
\nAnswer:
\nGiven set A = {0, 2, 4} and \u03c6 is a null set.
\nA \u2229 \u03c6 = {0, 2, 4} \u2229 { }
\n= { } ……. (1)
\nA \u2229 A = {0, 2, 4} \u2229 {0, 2, 4}
\n= {0, 2,4} …….. (2)
\nFrom (1) and (2),
\nWe conclude that A \u2229 \u03c6 = \u03c6 and A \u2229 A = A<\/p>\n

\"AP<\/p>\n

Question 3.
\nIf A = {2, 4, 6, 8, 10} and B = {3, 6, 9, 12, 15}, find A – B and B – A.
\nAnswer:
\nGiven sets are
\nA {2, 4, 6, 8, 10} and B = {3, 6, 9, 12, 15}
\nA – B = {2, 4, 6, 8, 10} – {3, 6, 9, 12, 15}
\n= {2, 4, 8, 10} …… (1)
\nB – A = {3, 6, 9, 12, 15} – {2, 4, 6, 8, 10}
\n= {3, 9, 12, 15} …… (2)
\nFrom (1) and (2), A – B \u2260 B – A<\/p>\n

Question 4.
\nIf A and B are two sets such that A \u2282 B then, what is A \u222a B?
\nAnswer:
\nLet us consider A \u2282 B
\nSet A = {1, 2, 3} and
\nSet B = {1, 2, 3, 4, 5}
\nNow A \u222a B = {1, 2, 3} \u222a {1, 2, 3, 4, 5}
\n= {1, 2, 3, 4, 5} = B
\n\u2234 A \u222a B = B<\/p>\n

Question 5.
\nIf A = {x : x is a natural number},
\nB = {x : x is an even natural number},
\nC = {x : x is an odd natural number} and
\nD = {x : x is a prime number}
\nFind A \u2229 B, A \u2229 C, A \u2229 D, B \u2229 C, B \u2229 D, C \u2229 D.
\nAnswer:
\nGiven sets are
\nA = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ……}
\nB = {2, 4, 6, 8, 10, …….}
\nC = {1, 3, 5, 7, 9, …….}
\nD = {2, 3, 5, 7, 11, …….}
\nA \u2229 B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …….} \u2229 {2, 4, 6, 8, 10, ……}
\n= {2, 4, 6, 8, 10, ……}
\nA \u2229 C = {1, 2, 3,4, 5, 6, 7, 8, 9, 10, …} \u2229 {1, 3, 5, 7, 9 }
\n= {1, 3, 5, 7, 9, ……}
\nA \u2229 D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …} \u2229 {2, 3, -5, 7, 11,….}
\n= {2, 3, 5, 7, 11, ……}
\nB \u2229 C = {2, 4, 6, 8, 10, ……} \u2229 {1, 3, 5, 7, 9, …….}
\n= { } = \u03c6
\nB \u2229 D = {2, 4, 6, 8, 10, ……} \u2229 {2, 3, 5, 7, 11, ……}
\n= {2}
\nC \u2229 D = {1, 3, 5, 7, 9, ……} \u2229 {2, 3, 5, 7, 11, 13, ……}
\n= {3, 5, 7, …..}<\/p>\n

\"AP<\/p>\n

Question 6.
\nIf 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
\n(i) A – B
\n(ii) A – C
\n(iii) A – D
\n(iv) B – A
\n(v) C – A
\n(vi) D – A
\n(vii) B – C
\n(viii) B – D
\n(ix) C – B
\n(x) D – B
\nAnswer:
\nGiven sets are A = {3, 6, 9, 12, 15, 18, 21}
\nB = {4, 8, 12, 16, 20}
\nC = {2, 4, 6, 8, 10, 12, 14, 16} and
\nD = {5, 10, 15, 20}
\ni) A – B = {3, 6, 9, 12, 15, 18, 21} – {4, 8, 12, 16, 20} = {3, 6, 9, 15, 18, 21}
\nii) A – C = {3, 6, 9, 12, 15, 18, 21} – {2, 4, 6, 8, 10, 12, 14, 16} = {3,9,15,18,21}
\niii) A – D = {3, 6, 9, 12, 15, 18, 21} – {5, 10, 15, 20} = {3,6,9,12,18,21}
\niv) B – A = {4, 8, 12, 16, 20} – {3, 6, 9, 12, 15, 18, 21} = {4, 8, 16, 20}
\nv) C – A = {2, 4, 6, 8, 10, 12, 14, 16} – {3, 6, 9, 12, 15, 18, 21} = {2, 4, 8, 10, 14, 16}
\nvi) D – A = {5, 10, 15, 20} – {3, 6, 9, 12, 15, 18, 21} = {5, 10, 20}
\nvii) B – C = {4, 8, 12, 16, 20} – {2, 4, 6, 8, 10, 12, 14, 16} = {20}
\nviii) B – D = {4, 8, 12, 16,20} – {5, 10, 15, 20} = {4, 8, 12, 16}
\nix) C – B = {2, 4, 6, 8, 10, 12, 14, 16} – {4, 8, 12, 16, 20} = {2, 6, 10, 14}
\nx) D – B = {5, 10, 15, 20} – {4, 8, 12, 16, 20} = {5, 10, 15}<\/p>\n

\"AP<\/p>\n

Question 7.
\nState whether each of the following statement is true or false. Justify your answers.
\ni) {2,3,4,5} and {3,6} are disjoint sets.
\nii) {a, e, i, o, u} and {a, b, c, d} are disjoint sets.
\niii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.
\niv) {2, 6, 10} and {3, 7, 11} are disjoint sets.
\nAnswer:
\ni) Rule: If two sets are disjoint their intersection is null set.
\n= {2, 3, 4, 5} n {3, 6} = { 3 } \u2260 \u03c6
\n\u2234 Given statement is False.<\/p>\n

ii) Given sets are
\n{a, e, i, o, u} and {a, b, c, d}
\n= {a, e, i, o, u} \u2229 {a, b, c, d}
\n= { a } \u2260 \u03c6
\n\u2234 Given statement is False.<\/p>\n

iii) Given sets are
\n{2, 6, 10, 14} and {3, 7, 11, 15}
\n= {2, 6, 10, 14} \u2229 {3, 7, 11, 15}
\n= { }
\n\u2234 Given statement is True.<\/p>\n

iv) Given sets are
\n{2, 6, 10} and {3, 7, 11}
\n= {2, 6, 10} \u2229 {3, 7, 11} = { }
\n\u2234 Given statement is True.<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Board Syllabus\u00a0AP SSC 10th Class Maths Textbook Solutions Chapter 2 Sets Ex 2.2 Textbook Questions and Answers. AP State Syllabus SSC 10th Class Maths Solutions 2nd Lesson Sets Exercise 2.2 10th Class Maths 2nd Lesson Sets Ex 2.2 Textbook Questions and Answers Question 1. If A = {1, 2, 3, 4}; B = … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":35155,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2023\/02\/Chapter-2-Sets-Ex-2.2.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/4991"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=4991"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/4991\/revisions"}],"predecessor-version":[{"id":34203,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/4991\/revisions\/34203"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/35155"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=4991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=4991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=4991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}