10
AssignmentMultiple Choice

Sets and Venn Diagrams

Question 10 • TN-Algebra II B SC 26-27 (For Credit)

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.”

AI-written and checked against the verified answer.

Previous
Next