If \( p \land q \) is F, \( p \rightarrow q \) is F, then the truth values of \( p \) and \( q \) are
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- T, T
- T, F
- F, T
- F, F
The Correct Option is C
Solution and Explanation
Step 1: Understanding the conditions.
For \( p \land q = \text{F} \) and \( p \rightarrow q = \text{F} \), we know the following: - \( p \land q = \text{F} \) implies that at least one of \( p \) or \( q \) must be false. - \( p \rightarrow q = \text{F} \) implies that \( p \) is true and \( q \) is false.
Step 2: Conclusion.
Thus, the only possible combination is \( p = \text{F} \) and \( q = \text{T} \).
Therefore, the correct answer is (C).
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