9
QuizMultiple Choice

Conditional Statements and Equivalence

Question 9 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Given the conditional statement ~p → q, which statement is logically equivalent?

Answer
A
p → ~q
B
~p → ~q
C
~q → ~p
D
~q → p

Explanation

A conditional is logically equivalent to its contrapositive: reverse the hypothesis and conclusion, then negate both. The contrapositive of ~p → q is ~q → p, which is choice D.

AI-written and checked against the verified answer.

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