13
QuizMultiple Choice

Unit 1 TEST: Sets and Logic

Question 13 • (OC27) MATH COLL LIB ARTS-1207350-S2-Maguire-D'Aquino

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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