Let A = {a, b, c, 1} and B = {c, 1, d, 2, e, 3}. Define F = {(a, 1), (b, 2), (c, 3), (1,1), (c, 2)} G = {(a, 1), (b, 2), (c, 1), (1,3)} Is Fa function or only a relation? Explain why. (a) (3 Marks) Is G a function or only a relation? Explain why. (b) (3 Marks) (c) Determine |A x B (2 Marks) Consider relation > ("greater than") on R. Prove that it is (d) transitive. (6 Marks) (Total 14 Marks)