For each of the following relations on {1,2,3,4) decide whether it is: reflexive, symmetric, antisymmetric, transitive,...

 

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For each of the following relations on {1,2,3,4) decide whether it is: reflexive, symmetric, antisymmetric, transitive, equivalence relation, or partial order. P = {(2,2), (2,3), (2,4), (3,2), (3,3), (3,4)} p2 = {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4,4)} p={(2,4), (4,2)} Draw the directed graph representation of the transitive closure of p = psu (pinp) Suppose that R. and R2 are "transitive and reflexive relations" on a set A. Is their union transitive and reflexive? Explain your answer. For each of the following relations on {1,2,3,4) decide whether it is: reflexive, symmetric, antisymmetric, transitive, equivalence relation, or partial order. P = {(2,2), (2,3), (2,4), (3,2), (3,3), (3,4)} p2 = {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4,4)} p={(2,4), (4,2)} Draw the directed graph representation of the transitive closure of p = psu (pinp) Suppose that R. and R2 are "transitive and reflexive relations" on a set A. Is their union transitive and reflexive? Explain your answer.