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If p ⇒ (q ∨ r) is false, then the truth values of p, q, r are respectively:

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

Correct answer: T, F, F

Solution

The implication p ⇒ (q ∨ r) is false only when p is true and (q ∨ r) is false. For (q ∨ r) to be false, both q and r must be false, which leads to the truth values of p being true and both q and r being false.

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