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If the compound statement p(~pq) is false, then the truth value of p and q are respectively

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By Expert Faculty of Sri Chaitanya
a
T,T
b
T,F
c
F,T
d
F,F
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detailed solution

Correct option is B

We know that, p→q is false only when p is true and q is false.So, p→(~p∨q) is false only when p is true and(~p∨q) is false.But (~p∨q) is false if q is false because ~p is false.Hence , p→(~p∨q) is false when truth value of p and qare T and F respectively.


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