
                ### Instruction: help me answer this question Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that (i) A × (B ∩ C) = (A × B) ∩ (A × C) (ii) A × C is a subset of B × D, think step by step
                ### Assistant:  , The answer is i) Both L.H.S. and R.H.S. are equal to Φ, hence verified.
ii) Since all the elements of set A × C are the elements of set B × D, therefore A × C is a subset of B × D.
