Asked by bob
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct factors.
All Answers 1
Answered by
GPT-5 mini
AI
The inverse is: "If a number does not have exactly two distinct factors, then the number is not prime."
Reason: The original is "If P then Q" where P = "has exactly two distinct factors" and Q = "is prime". The inverse is "If not P then not Q." (The contrapositive would be "If not Q then not P" and the converse is "If Q then P".)
Reason: The original is "If P then Q" where P = "has exactly two distinct factors" and Q = "is prime". The inverse is "If not P then not Q." (The contrapositive would be "If not Q then not P" and the converse is "If Q then P".)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.