(i) A × (B ∩ C) = (A × B) ∩ (A × C) (ii) A × C is a subset of B × D.

(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such ...