120917
AssignmentMultiple Choice

Conditional Statements and Equivalence

Question 120917 • FL-1206310-Geometry A - Flex

Which is the contrapositive of p → q?

Answer
A
If 3x + 7 = −5, then 4x + 12 = –4.
B
If 4x + 12 = –4, then 3x + 7 = −5.
C
If 3x + 7 ≠ −5, then 4x + 12 ≠ –4.
D
If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

Explanation

A conditional p → q has contrapositive ¬q → ¬p: reverse the two statements and negate each one. Here, p is “3x + 7 = −5” and q is “4x + 12 = −4,” so the contrapositive is “If 4x + 12 ≠ −4, then 3x + 7 ≠ −5.” That is choice D.

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