IMathAS-libretexts

Consider the following implication:

"If you drink coffee then you won't be able to sleep."

Which of the following is the contrapositive of this statement?

If you can sleep then you didn't drink coffee.
If you don't drink coffee then you will be able to sleep.
If you can't sleep then you drank coffee.

Which of the following is the inverse of this statement?

If you can sleep then you didn't drink coffee.
If you don't drink coffee then you will be able to sleep.
If you can't sleep then you drank coffee.

Which of the following is the converse of this statement?

If you can sleep then you didn't drink coffee.
If you don't drink coffee then you will be able to sleep.
If you can't sleep then you drank coffee.