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If A and B are two sets, then (AuuB)'uu(...

If A and B are two sets, then `(AuuB)'uu(A'nnB)` is equal to

A

`A'`

B

`A`

C

`B'`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have `(AuuB)'uu(A'nnB)`
`=(A'nnB')uu(A'nnB)`
[By De-Morgan's law]
`=A'nn[(B'uuB)]`
[distributive law]
`=A'nnU=A'`
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