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Select the statement that is the contrapositive of the following statement:
If the cat plays the fiddle, then the cow jumps over the moon.
Answer
Attempt 1 out of 2
Multiple Choice Answers
If the cat doesn't play the fiddle, then the cow doesn't jump over the moon.
If the cat plays the fiddle, then the cow doesn't jump over the moon.
If the cow jumps over the moon, then the cat plays the fiddle.
If the cow doesn't jump over the moon, then the cat doesn't play the fiddle.
Show Examples
Select the statement that is the contrapositive of the following statement:
If the cat plays the fiddle, then the cow jumps over the moon.
Answer
Attempt 1 out of 2
Multiple Choice Answers
If the cat doesn't play the fiddle, then the cow doesn't jump over the moon.
If the cat plays the fiddle, then the cow doesn't jump over the moon.
If the cow jumps over the moon, then the cat plays the fiddle.
If the cow doesn't jump over the moon, then the cat doesn't play the fiddle.
Answers
GPT-4o mini
The contrapositive of a statement of the form "If P, then Q" is "If not Q, then not P".
For the statement, "If the cat plays the fiddle (P), then the cow jumps over the moon (Q)", the contrapositive would be:
"If the cow doesn't jump over the moon (not Q), then the cat doesn't play the fiddle (not P)."
So, the correct answer is:
**If the cow doesn't jump over the moon, then the cat doesn't play the fiddle.**
For the statement, "If the cat plays the fiddle (P), then the cow jumps over the moon (Q)", the contrapositive would be:
"If the cow doesn't jump over the moon (not Q), then the cat doesn't play the fiddle (not P)."
So, the correct answer is:
**If the cow doesn't jump over the moon, then the cat doesn't play the fiddle.**