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Question
If p ∧ q is F, p → q is F then the truth values of p and q are ________.
Options
T, T
T, F
F, T
F, F
Solution
If p ∧ q is F, p → q is F then the truth values of p and q are T, F.
Explanation:
Consider the following truth table:
|
p |
q |
p ∧ q |
p → q |
|
T |
T |
T |
T |
|
T |
F |
F |
F |
|
F |
T |
F |
T |
|
F |
F |
F |
T |
If (p ∧ q) is F and (p → q) is F, the their truth value must be T and F respectively.
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