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Q-4: a) [5+5 marks] Let A = {2,3,4,6,10, 12,16} and B = {2,4, 8,16,25}. Draw the Hasse diagrams for the following posets: i. (A, I). ii. (B, D). b) [5x2 marks] Show that each of the below rule is not a function with the given domain and codomain: i. f: N - N where f (n) = vn. ii. g: N - N where g (n) = any integer > n. iii. h: R - R where h(x) =x if x 5 2 x - 1 if x24 iv. k: Q - Q where f(p/q) = q. v. G: z - Z where G(n) = - 1 n2-5