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Which of the following statements is a t...

Which of the following statements is a tautology?

A

` ( ~ p vv q) ~ ( p vv ~ q)`

B

` ( ~ p vv ~ q) to p vv q`

C

` ( p vv ~ q) ^^ ( p vv q)`

D

` ( ~ p vv ~ q) vv ( p vv q)`

Text Solution

Verified by Experts

The correct Answer is:
D
The truth table of `( ~ p vv ~ q) vv ( p vv q)` is as shown below

Clearly, last column of the truth table contains , T only,
So, `( ~ p vv ~ q) vv ( p vv q)` is a tautology .
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