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If U={1,2,3,4,5,6,7,8},A={3,4,5,6}and B=...

If `U={1,2,3,4,5,6,7,8},A={3,4,5,6}and B={1,3,5,7}`, then find each of the following :
(i) `A'cupB'`
(ii) `A ' capB'`
(iii) `(A cup B)'`
(iv) `A' -B'`.

Text Solution

Verified by Experts

`A'=U-A={1,2,7,8}`
`B'=U-{2,4,6,8}`
(i) `A'cupB'={1,2,4,6,7,8}`
(ii) `A' cap B'={2,8}`
(iii) `A cupB={1,3,4,5,6,7}`
`:. (AcupB)=U-(A cupB)=(2,8)`
(iv) `A'=B'={1,7}`.
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