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Question
Determine the truth values of p and q in the following case:
(p ∧ q) is F and (p ∧ q) → q is T
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Solution
| p | q | p ∧ q | (p ∧ q) → q |
| T | T | T | T |
| T | F | F | T |
| F | T | F | T |
| F | F | F | T |
Since the truth values of (p ∧ q) is F and (p ∧ q) → q is T, from the table, the truth values of p and q are either T and F respectively or F and T respectively or both F.
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