Question

please answers this question guyzs

Answer 1

Given : A = {1,2,3}, B = {3,4}, C = {4,5,6}.

(i)

A * (B intersection C)

= > {1,2,3} * {4}

= > {1,4}, {2,4}, {3,4}.

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(ii) A * (B U C)

= > {1,2,3} * {3,4,5,6}

= > {1,3},{1,4},{1,5},{1,6},{2,3},{2,4},{2,5},{2,6},{3,3},{3,4},{3,5},{3,6}.

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(iii)

(A * B) intersection (A * C)

= > {1,2,3} * {3,4} intersection {1,2,3} * {4,5,6}

= > {1,3},{1,4},{2,3},{2,4},{3,3},{3,4} intersection {1,4},{1,5},{1,6},{2,4},{2,5},{2,6},{3,4},{3,5},{3,6}

= > {1,4},{2,4},{3,4}.

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(iv)

= > {1,3},{1,4},{2,3},{2,4},{3,3},{3,4} U {1,4},{1,5},{1,6},{2,4},{2,5},{2,6},{3,4}{3,5},{3,6}

= > {1,3},{1,4},{1,5},{1,6},{2,3},{2,4},{2,5},{2,6},{3,3},{3,4},{3,5},{3,6}

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Hope this helps!