Let \(A = \{1, 2\}\), \(B = \{1, 2, 3, 4\}\), \(C = \{5, 6\}\) and \(D = \{5, 6, 7, 8\}\). Verify that (i) \(A \times (B \cap C) = (A \times B) \cap (A \times C)\). (ii) \(A \times C\) is a subset of \(B \times D\).