Question

Let U = {x: x∈N, x≤10}, A={x: x∈N, 2≤x≤8} and B = {x: x is a prime number <10}, then (A - B)′ is equal to?

Answer 1

Answer:

U={1,2,3,4,5,6,7,8,9,10}

A={2,3,4,5,6,7,8}

B={2,3,5,7}

Therefore, (A-B)'=U-(A-B)={1,2,3,4,5,6,7,8,9,10}-

({2,3,4,5,6,7,8}-{2,3,5,7})={1,2,3,4,5,6,7,8,9,10}-{4,6,8}

={1,2,3,5,7,9,10}.

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