Question

If U={1, 2,3,4,5,6}, A={2, 3}, B={3, 4,5} show that(AUB)'=A'intersectionB'

Answer 1

Answer:

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

A={2,3}

B={3,4,5}

(AUB)'

U-A={1,2,3,4,5,6}-{2,3}

U-A ={1,4,5,6}

U-B={1,2,3,4,5,6}-{3,4,5}

U-B={1,2,6}

Now AUB

A={1,4,5,6}U{1,2,6}

AUB={1,2,4,5,6}

Now A intersection B

A={1,4,5,6}intersection{1,2,6}

A intersectionB={1,6}