5
QuizMultiple Choice

Conditional Statements and Equivalence

Question 5 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Given:p: 2x = 16q: 3x – 4 = 20Which is the converse of p → q?

Answer
A
If 2x ≠ 16, then 3x – 4 ≠ 20.
B
If 3x – 4 ≠ 20, then 2x ≠ 16.
C
If 2x = 16, then 3x – 4 = 20.
D
If 3x – 4 = 20, then 2x = 16.

Explanation

The converse of a conditional switches its hypothesis and conclusion. Here, p is “2x = 16” and q is “3x − 4 = 20,” so the converse of p → q is “If q, then p.” Therefore, the correct choice is “If 3x − 4 = 20, then 2x = 16.”

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