Subjects logic

Contrapositive Identification

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Contrapositive Identification


1. The problem asks to find the contrapositive of the statement: "If P, then Q". 2. Recall that the contrapositive of a statement "If P, then Q" is always "If not Q, then not P". 3. We denote negation by the tilde symbol (~). Therefore, the contrapositive is "If ~Q, then ~P". 4. Verify the options: - If Q, then P: This is the converse, not contrapositive. - If ~P, then ~Q: This is the inverse, not contrapositive. - If ~Q, then ~P: This matches the contrapositive. - If ~Q, then P: This does not match the contrapositive. 5. Therefore, the correct answer is "If ~Q, then ~P".