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The compound statement p to ( ~ p ^^ q)...

The compound statement `p to ( ~ p ^^ q)` is false, then the truth values of p and q are respectively.

A

T,T

B

T,F

C

F,T

D

F,F

Text Solution

Verified by Experts

The correct Answer is:
B
We know that ` p to q ` is false only when p is true and q is false. Therefore ,
` p to ( ~ p ^^ q)` is false only when p is true and ( `~ p ^^ q)` is false.
Now , ` ~ p ^^ q` is false if q is false , because ~ p is false.
Hence,
` p to ( ~ p ^^ q)` is false only when p is true and q is flase.
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