question archive Consider the following relations on the set {1, 2, 3, 4}

Consider the following relations on the set {1, 2, 3, 4}

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Consider the following relations on the set {1, 2, 3, 4}. For each relation, represent it 
as a directed graph and answer the question. 

a) {(1, 3), (3, 3), (2, 4), (3, 1), (2, 2)} Is it reflexive. 

b) {(2, 3), (1, 4), (4, 1), (4, 3), (3, 2), (3, 3), (3, 4)} Is it symmetric. 

c) {(1, 3), (2, 3), (3, 4), (4, 4), (3, 3), (1, 1)} Is it anti symmetric. 

d) {(3, 1), (3, 4), (4, 1), (2, 3), (2, 4), (2, 1)} Is it transitive. 

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