120918
AssignmentMultiple Choice

Conditional Statements and Equivalence

Question 120918 • TPS-202627-MTH-Geometry 1A-CR

Given the conditional statement: p → ~q Choose the logically equivalent statement.

Answer
A
p → q
B
~p → q
C
q → p
D
q → ~p

Explanation

The contrapositive of a conditional reverses the hypothesis and conclusion and negates both. For p → ~q, the contrapositive is q → ~p, which is logically equivalent to the original statement. Therefore, the equivalent statement is “q → ~p.”

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