Q. 34.0( 5 Votes )

If A = {x : x <sp

Answer :

Natural numbers start from 1


A = {1, 2, 3, 4, 5, 6, 7}


B = {2, 3, 5, 7}


C = {1, 3, 5, 7, 9}


(i) BC = {3, 5, 7}
AU(B
C) = {1, 2, 3, 4, 5, 6, 7}


AB = {1, 2, 3, 4, 5, 6, 7}


AC = {1, 2, 3, 4, 5, 6, 7, 9}


(AB)(AC) = {1, 23, 4, 5, 6, 7}


A(BC) = (AB)(AC)


Hence proved


(ii) BC = {1, 2, 3, 5, 7, 9}


A(BC) = {1, 2, 3, 5, 7}


AB = {2, 3, 5, 7}


AC = {1, 3, 5, 7}


(AB)(AC) = {1, 2, 3, 5, 7}


A(BC) = (AB)(AC)


Hence proved


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