2
QuizMultiple Choice

Compound Statements

Question 2 • AZ-Common Core Algebra II A

Given:p: x – 5 =10q: 4x + 1 = 61Which is the inverse of p → q?

Answer
A
If x – 5 ≠ 10, then 4x + 1 ≠ 61.
B
If 4x + 1 ≠ 61, then x – 5 ≠ 10.
C
If x – 5 = 10, then 4x + 1 = 61.
D
If 4x + 1 = 61, then x – 5 = 10.

Explanation

The inverse of a conditional p → q is ¬p → ¬q: negate both the hypothesis and the conclusion without switching their order. Here, that gives “If x − 5 ≠ 10, then 4x + 1 ≠ 61,” which is choice A.

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