One of my teaches gave me this problem as extra credit. Proofs like this were not a pre-requisit for the class so I dont' think he expected anyone to solve it. I don't even know where to get started and when I asked him for a suggestion of where to start he simply replied that he didnt' even know how to do it. Any suggestions of where to start would be helpful.

Here is the problem. I scanned it and cropped it so it wasn't to big.