As far as I remember about conditional reasoning, if:

1. A-> B

2. C-> ~A

I can combine 1 and 2 (~B-> ~A: Contrapositive #1 and C-> ~A) and turn out C-> ~B.

So the diagram about the stimulus I thought was:

1: B-> A

2: L-> ~B

So contrapositive #1: ~A-> ~B

And I combined 1+2 and turned out L-> ~A, so that's why I chose E, but the answer is C.

So I have no idea why E is wrong. Am I missing something?

And why is C an answer?

Please someone explain me.

Thanks!