Q. 94.4( 45 Votes )

If A = {3, 6, 9,

Answer :

A - B shows the relative complement of the set, which represents members of set A which are not part of set B




(i) It is given in the question that,


A = {3, 6, 9, 12, 15, 18, 21}


And, B = {4, 8, 12, 16, 20}


∴ A – B = {3, 6, 9, 12, 15, 18, 21} - {4, 8, 12, 16, 20}

12 is present in both the sets, so A - B will not contain 12 and will contain rest of the elements of A

= {3, 6, 9, 15, 18, 21}


(ii) It is given in the question that,


A = {3, 6, 9, 12, 15, 18, 21}


And, C = {2, 4, 6, 8, 10, 12, 14, 16}


∴ A – C = {3, 6, 9, 12, 15, 18, 21} - {2, 4, 6, 8, 10, 12, 14, 16}


= {3, 9, 15, 18, 21}


(iii) It is given in the question that,


A = {3, 6, 9, 12, 15, 18, 21}


And, D = {5, 10, 15, 20}


∴ A – D = {3, 6, 9, 12, 15, 18, 21} - {5, 10, 15, 20}


= {3, 6, 9, 12, 18, 21}


(iv) It is given in the question that,


B = {4, 8, 12, 16, 20}


And, A = {3, 6, 9, 12, 15, 18, 21}


∴ B – A = {4, 8, 12, 16, 20} - {3, 6, 9, 12, 15, 18, 21}


= {4, 8, 16, 20}


(v) It is given in the question that,


C = {2, 4, 6, 8, 10, 12, 14, 16}


And, A = {3, 6, 9, 12, 15, 18, 21}


∴ C – A = {2, 4, 6, 8, 10, 12, 14, 16} - {3, 6, 9, 12, 15, 18, 21}


= {2, 4, 8, 10, 14, 16}


(vi) It is given in the question that,


D = {5, 10, 15, 20}


And, A = {3, 6, 9, 12, 15, 18, 21}


∴ D – A = {5, 10, 15, 20} - {3, 6, 9, 12, 15, 18, 21}


= {5, 10,20}


(vii) It is given in the question that,


B = {4, 8, 12, 16, 20}


And, C = {2, 4, 6, 8, 10, 12, 14, 16}


∴ B – C = {4, 8, 12, 16, 20} - {2, 4, 6, 8, 10, 12, 14, 16}


= {20}


(viii) It is given in the question that,


B = {4, 8, 12, 16, 20}


And, D = {5, 10, 15, 20}


∴ B – D = {4, 8, 12, 16, 20} - {5, 10, 15, 20}


= {4, 8, 12, 16}


(ix) It is given in the question that,


C = {2, 4, 6, 8, 10, 12, 14, 16}


And, B = {4, 8, 12, 16, 20}


∴ C – B = {2, 4, 6, 8, 10, 12, 14, 16} - {4, 8, 12, 16, 20}


= {2, 6, 10, 14}


(x) It is given in the question that,


D = {5, 10, 15, 20}


And, B = {4, 8, 12, 16, 20}


∴ D – B = {5, 10, 15, 20} - {4, 8, 12, 16, 20}


= {5, 10, 15}


(xi) It is given in the question that,


C = {2, 4, 6, 8, 10, 12, 14, 16}


And, D = {5, 10, 15, 20}


∴ C – D = {2, 4, 6, 8, 10, 12, 14, 16} - {5, 10, 15, 20}


= {2, 4, 6, 8, 12, 14, 16}


(xii) It is given in the question that,


D = {5, 10, 15, 20}


And, C = {2, 4, 6, 8, 10, 12, 14, 16}


∴ D – C = {5, 10, 15, 20} - {2, 4, 6, 8, 10, 12, 14, 16}


= {5, 15, 20}

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