Question

If U= 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 and A = 2, 4, 6, 8, 10, 12 and B = 1, 3, 5, 7, 9, 11 find A U B = B U A = U. ​

Answer 1

Answer:

AUB

Step-by-step explanation:

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′