Discrete math help using Indirect proof and logic laws/rules of replacement

Question

1) A → ( B ۸ C )

2) B → ( D ۸ E )

_____________

Therefore A ۷ D

Saw this question on my textbook and my teacher is not replying to my messages, please help if possible.

Answer 1

If I'm reading your question correctly, this says that we need to show that you always have either A or D, given that you have both B and C any time you have A, and given that you have both D and E whenever you have B.

But it's possible for both the conditionals to be satisfied having neither A nor D. None of A,B,C,D,E could be true, for example. So your problem is either incomplete or false.