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QuizMultiple Choice

Compound Statements

Question 1 • AZ-Common Core Algebra II A

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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