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Let p, q, r be three statements such that the truth value of (p ∧ q) → (~q \(\lor\) r) is F. Then the truth values of p, q, r are respectively : (1) T, F, T (2) F, T, F (3) T, T, F (4) T, T, T |
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Answer» (3) T, T, F (p ∧ q) → (~q \(\lor\) r) = false when (p ∧ q) = T and (~q \(\lor\) r) = F So (p ∧ q) = T is possible when p = q = true \(\therefore\) ~q = False (q = true) So (~q \(\lor\) r) = False is possible if r is false \(\therefore\) p = T, q = T, r = F |
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