6
QuizMultiple Choice

Conditional Statements and Equivalence

Question 6 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

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

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

Explanation

A conditional p → q is logically equivalent to its contrapositive, formed by negating both parts and reversing their order: ~q → ~p. Therefore, the equivalent statement is “if not q, then not p.” Choice A is the inverse, which is not generally equivalent.

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