Let A, B, C, and D be four sets. For each of the following statements, either prove it or find a counterexample. a. It cannot be the case that x ∈ A \ B and x ∈ B \ C. b. (A \ C) × (B \ D) ⊆ (A × B) \ (C × D). c. (A \ C) × (B \ D) = (A × B) \ (C × D) I'm having a lot of trouble with this if you could please give the reasoning behind each of the statements and use proof terminology please!