Question

Given a relation R on set A= {1, 2, 3, 5, 6, 10, 15, 30} such that R = {(a, b): a is divisor of b and a ϵ A, b ϵ A} Show that it is a POSET. Draw its digraph and Hasse Diagram. Compute Maximal and Minimal element of Hasse Diagram. Assume f(x) = x+3, g(x) = x-3 and h(x) = 4x, x ϵ R. Find the composition (i) g o f (ii) h o f and (iii) f o h o g.​

Answer 1

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