Question: 13. R is a relation in the set A = {1, 2, 3, 4, 5} given by the relation R = {(a, b):|a-b| is even}.

13. R is a relation in the set A = {1, 2, 3, 4, 5} given by the relation R = {(a, b):|a-b| is even}. Determine if R is an equivalence relation by showing whether it satisfies the three properties. State your final answer. The three properties are :

Reflexivity Symetry

Trasitivity

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