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If the truth value of the statement p → (~q ∨ r) is false (F), then the truth values of the statements p, q, r are respectively:

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

Correct answer: T, T, F

Solution

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

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