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Question

The negative of the compound proposition p~pq is


A

(p~q)~p

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B

~pp~q

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C

None of these

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Solution

The correct option is B

~pp~q


Explanation for the correct answer:

We are required to find the negation of p~pq

=~p~pq

=~p~ppq ...[a(bc)=(ab)(ac)] …[distributive law]

=~pp~p~q ...[~(a~b)=(~ab)] …[complement law]

=~pp~q

Hence, the negation of p~pq is ~pp~q,

Therefore,option (B) is the correct answer.


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