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Question

(p~q)(~pq)is


A

a contradiction

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B

a tautology

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C

either a or b

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D

neither a nor b

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Solution

The correct option is A

a contradiction


Explanation for the correct option:

Checj=k if the relationship is a contradiction or tautology or both or neither of them:

We make a truth table to find the answer where T denotes true and F denoted false

pq~p~q(p~q)~pqp~q~pq
TTFFFTF
TFFTTFF
FTTFFTF
FFTTFTF

The last column has all F which stands for false hence it is a contradiction.

Therefore the correct answer is option (A).


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