Q. 64.2( 13 Votes )

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Answer :

We know that the difference set of sets A and B is the set of elements which belongs to A but does not belong to B.


(i) A – B = {3, 6, 9, 12, 15, 18, 21} – {4, 8, 12, 16, 20}


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


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


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


(iii) A – D = {3, 6, 9, 12, 15, 18, 21} – {5, 10, 15, 20}


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


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


= {4, 8, 16, 20}


(v) C – A = {2, 4, 6, 8, 10, 12, 14, 16} - {5, 10, 15, 20}


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


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


= {5, 10, 20}


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


= {20}


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


= {4, 8, 12, 16}


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


= {2, 6, 10, 14}


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


= {5, 10, 15}


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