On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a; e), (b; f), (c; f), (d; g), (e; g), (f; h), (g; h)}. Draw a Hasse Diagram for a partially ordered set (A, E), where C is the transitive- reflexive closure of the relation R. Answer (and justify) the following questions: Is the (A, C) union set? If so, is it an (a) distributive association, (b) bounded, (c) complementary, (d) a Boolean?

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