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Which of the following is logically equi...

Which of the following is logically equivalent to ( p^q) ?

A

` p to ~ q`

B

` ~ p vv ~ q`

C

` ~ ( p to ~ q)`

D

` ~ ( ~ p ^^ ~ q)`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that ` p to q cong ~ p vv q`
` p to ~ q cong ~ ( p ^^q )`
So, option (b) is not correct.
we have,
` p to ~ q cong ( p ^^ q) Rightarrow ~ ( p to ~ q) cong p vv q`
Hence, option © is correct.
we have,
` ~ ( ~ p ^^ ~ q) = ~ ( ~ (p vv q)) = p vv q`
Som option (d) is correct.
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