a) Let A = {2,3,4,6,10, 12,16} and B = {2,4,8,16,25}. Draw the Hasse diagrams for the...

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a) 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, |). ii. (B. I). b) 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. x2 x-1 if x 2 4° if x< 2 iii. h: R – Rwhere h(x) = } iv. k: Q → Qwhere f(p/q) = q. %3D 1 v. G: z → Z where G(n) = n2-5 a) 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, |). ii. (B. I). b) 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. x2 x-1 if x 2 4° if x< 2 iii. h: R – Rwhere h(x) = } iv. k: Q → Qwhere f(p/q) = q. %3D 1 v. G: z → Z where G(n) = n2-5