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If p → (~p ∨ ~q) is false, then the truth values of p and q are respectively -

1. T, F
2. F, F
3. F, T
4. T, T

Correct answer: T, T

Solution

The expression p → (~p ∨ ~q) is only false when p is true and the consequent (~p ∨ ~q) is false. For (~p ∨ ~q) to be false, both ~p and ~q must be false, which means p must be true and q must also be true.

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