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The expression ~(~p rarr q) is logically...

The expression `~(~p rarr q)` is logically equivalent to

A

` ~ p to ~ q`

B

p ^ q

C

` p to ~ q`

D

` p harr q`

Text Solution

Verified by Experts

The correct Answer is:
C
we know, that ` p to q cong ~ p vv q`
` ~ p to ~ q cong ~ ( ~p ) vv ~ q cong p vv ~ q`
So, option (a) is not correct.
we have,
` ~ p vv ~ q cong ~ ( p ^^ q)`
So , option (b) is not correct.
we have, ` p to ~ q cong ~ p vv ~ q`
Hence, option (c) is correct.
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