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Question

The logical statement pqq~p is equivalent to


A

~p

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B

p

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C

q

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D

~q

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Solution

The correct option is A

~p


Explanation of the correct option.

Compute the equivalent statement.

p

q

pq

~p

q~p

pqq~p

T

T

T

F

F

F

T

F

F

F

T

F

F

T

T

T

T

T

F

F

T

T

T

T

From the table it can be seen that pqq~p is equivalent to ~p.

Hence option A is the correct option.


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