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Question

The negation of p(qr)


A

~p~(qr)

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B

~p~(qr)

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C

(qr)p

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D

p(~q~r)

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Solution

The correct option is D

p(~q~r)


Explanation for the correct option:

Given: p(qr)

We know that the negation of A is given by ~A and the De’ Morgan’s laws says ~(ab)=~a~b.

So the negation of p(qr) is,

~p(qr)=p~(qr)~(ab)=a~b=p(~q~r)~(ab)=~a~b

Therefore, the negation of p(qr) is p(~q~r).

Hence, option D is the correct option.


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