If P implies Q and Q is false, what can we conclude about P?

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Multiple Choice

If P implies Q and Q is false, what can we conclude about P?

Explanation:
When a conditional P implies Q is true, it can fail only if P is true and Q is false. Since Q is false, P cannot be true; otherwise the implication would require Q to be true. So P must be false.

When a conditional P implies Q is true, it can fail only if P is true and Q is false. Since Q is false, P cannot be true; otherwise the implication would require Q to be true. So P must be false.

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