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AssignmentMultiple Choice

Sets and Venn Diagrams

Question 1 • TN-Algebra II B SC 26-27 (For Credit)

Given the statement "If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?

Answer
A
If a line is horizontal, then it has zero slope.
B
If a line has zero slope, then it is a horizontal line.
C
If a line is not horizontal, then it does not have zero slope.
D
If a line does not have zero slope, then it is not a horizontal line.

Explanation

For a conditional statement “if P, then Q,” its contrapositive is “if not Q, then not P.” Here, P is “the line is horizontal” and Q is “the line has slope equal to zero.” So the contrapositive is “If a line does not have zero slope, then it is not a horizontal line,” which is choice D.

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