Question

Let U={1,2,3,4,5,6}, A = {2,3}
and B = {3,4.5}. show that
(AUB) = A'nB'​

Answer 1

Step-by-step explanation:

To prove :- (AuB) = A'nB'

L.H.S = (AuB)

= { 2,3,4,5 } - (i)

R.H.S = A'nB'

A' = { 1,4,5,6 }

B' = { 1,2,6 }

A'nB' = { 1,6 }

Hope it will help you .

Answer 2

Step-by-step explanation:

I think its (AUB)' not (AUB)

AUB={2,3,4,5}

(AUB)'=U-(AUB)

(AUB)'={1,6}

A'=U-A

A'={1,4,5,6}

B'=U-B

B'={1,2,6}

A'nB'={1,6}

Hence proved

(AUB)'=A'nB'