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The false statement among the following ...

The false statement among the following is

A

`p ^^(~ p)` is contradiction

B

`(p rArr q) iff (~q rArr ~ p)` is a contradiction

C

`~(~p)iff p` is a tautology

D

`p vv(~p)iff p` is a tautology

Text Solution

Verified by Experts

The correct Answer is:
B
`p rArr q` is logically equivalent to `~q rArr ~p`.
`therefore (p rArr q)iff (~q rArr ~p)` is a tautology but not a contradiction.
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