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Question 981453: If(~P->Q)->(PvR)is false, what are the truth values of P,Q and R?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! (~P->Q)->(PvR)is false
So (~P->Q) is true while (PvR) is false. The generic form X->Y is only false if X is true but Y is false.
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Since (PvR) is false this means that both P and R have to be false. Otherwise, (PvR) would be true.
P is false, so ~P is true.
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~P is true and (~P->Q) is true. So Q has to be true. If Q were false, then (~P->Q) would be false.
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So
P = false
Q = true
R = false
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