Question

If U ={1,2,3,4,5,6,7,8,9,10},A={1,2,3,4} Find A'and(A')'​

Answer 1

Answer:

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

A={2,4,6,8}

B={2,3,5,7}

(i) (A∪B)′={2,3,4,5,6,7,8}′={1,9}

A′∩B′={1,3,5,7,9}∩{1,4,6,8,9}={1,9}

∴(A∪B)′=A′∩B′

(ii) (A∩B)′={2}′={1,3,4,5,6,7,8,9}

A′∪B′={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}

∴(A∩B)′=A′∪B′