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# Let A = {1, 2, 3}, B = {3,4} and C = {4,5,6}. Find (A $\times$ B) $\cup$ (A $\times$ C)

Using the sets A $\times$ B and A $\times$ C from part (ii) [ i.e., Now (A $\times$ B) = {(1,3), (1,4), (2,3), (2,4), (3,3), (3,4)} and (A $\times$ C) = {(1,4), (1,5), (1,6), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6)} Therefore, (A $\times$ B) $\cap$ (A $\times$ C) = {(1, 4), (2, 4), (3, 4)}. ] above, we obtain
(A $\times$ B) $\cup$ (A $\times$ C) = {(1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6)}.