5
QuizMultiple Choice

Compound Statements

Question 5 • AZ-Common Core Algebra II A

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?

Answer
A
the original conditional statement
B
the converse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the inverse of the original conditional statement

Explanation

The inverse of a conditional p → q is formed by negating both the hypothesis and the conclusion, giving ~p → ~q. The contrapositive would reverse their order as well: ~q → ~p. Therefore, ~p → ~q is the inverse, choice D.

AI-written and checked against the verified answer.

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