If a and b are odd integers, then a • b is an odd integer.

Which is the contrapositive of the statement?

Question

If a and b are odd integers, then a • b is an odd integer.

 

Which is the contrapositive of the statement?

anonymous · Answer

@SithsAndGiggles

debbieg · Answer

If P -> Q then notQ -> not P.

So here: if a(b) is even, then at least one of a or b is even.

anonymous · Answer

The contrapositive of $p\to q$ is $\neg~q\to\neg~ p$. You can think of it as the converse of the inverse.

debbieg · Answer

Actually looking at it again, mine not be technically specific enough. Perhaps it would be more appropriate to say:

If a(b) is NOT an odd integer, then a and b are not both odd integers.

The way I said it first sort of assumes that a and b are integers but I don't know that that's implied by anything.

anonymous · Answer

so it would be... the one that debbie said right? @SithsAndGiggles

anonymous · Answer

Yep