120917
AssignmentMultiple Choice

Conditional Statements and Equivalence

Question 120917 • TPS-202627-MTH-Geometry 1A-CR

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

The contrapositive of p → q is ¬q → ¬p: reverse the order and negate both statements. Here that gives “If 4x + 12 ≠ −4, then 3x + 7 ≠ −5,” which is choice D.

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