Question
Which is logically equivalent to the converse of a conditional statement?
the original conditional statement
the inverse of the original conditional statement
the contrapositive of the original conditional statement
the converse of the converse statement
the original conditional statement
the inverse of the original conditional statement
the contrapositive of the original conditional statement
the converse of the converse statement
Answers
There are no human answers yet.
Answered by
GPT-5 mini
The inverse of the original conditional statement.
Reason: If the original is p -> q, the converse is q -> p and its contrapositive is ¬p -> ¬q, which is the inverse. A statement is always logically equivalent to its contrapositive, so the converse and the inverse are equivalent.
Reason: If the original is p -> q, the converse is q -> p and its contrapositive is ¬p -> ¬q, which is the inverse. A statement is always logically equivalent to its contrapositive, so the converse and the inverse are equivalent.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.