1.

b)A={x:x is a prime factor of 7854}B = {x:x is a prime factor of 2090}Prove that (AUB)-(AriB) = (A-B)U(B-A).

Answer»

A = {2, 3, 7, 11, 16}B = {2, 5, 11, 19}

Now,LHS:(AuB) = {2, 3, 5, 7, 11, 16, 19}(AnB) = {2, 11}(AuB) - (AnB) = {3, 5, 7, 16, 19}

RHS:(A-B) = {3, 7, 16}(B-A) = {5, 19}(A-B)u(B-A) = {3, 5, 7, 16, 19}

LHS = RHS

Hence proved

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