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If A={1,3,5,7,9,11,13,15,17}, B={2,4,......

If `A={1,3,5,7,9,11,13,15,17}, B={2,4,.......,18} and N` the set of natural numbers is the universal set, then `A' uu {(A uu B) nn B'}` is

A

`phi`

B

N

C

A

D

B

Text Solution

Verified by Experts

The correct Answer is:
B
`A' uu [(A uu B) nn B] , [:' A nn (B uu C) = (A nn B) uu (A nn C)]`
`= A' uu[(A nn B') uu (B nn B')]`
`= A' uu [(A nn B') uu phi] = A' uu (A nn B')`
`= (A' uu A) nn (A' uu B')`
`= A' uu B' = N nn (A' uu B')`
` = A' uu B' = (A nn B)' , [:' A nn B = phi]`
`= phi = N`
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