1. The problem statement, all variables and given/known data This one is giving me serious trouble. Let Y be a subset of X. Let both X and Y be connected. SHow that if A and B form a separation of X\Y, then Y U A and Y U B are connected. 3. The attempt at a solution I know all the basic definitions and theorems from the chapter about connectedness preceding this exercise section, but any way I try it, I don't seem to get anywhere. Any ideas?