2 Explain why the relation on N defined as is not an equivalence relation. {(x,y): +y is a multiple of 3}

From the options below, select the ones which are true for the relation ~ on the set of real numbers that is defined by x ~ y if x ≤y. is an equivalence relation O~ is reflexive ~ is transitive O ~ is symmetric ONone of the above

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Determine whether the given relation is an equivalent relation on (1, 2, 3, 4, 5} If the relation is an equivalence relation, list the equivalence classes (x, y E {1,2, 3, 4, 5} . ) 3, 4, 5}. 1. {(1,1), (2, 2) , (3, 3) , (4, 4) , (5, 5) , (1, 3) , (3, 1)} 2. {(x, y) | 3 divides x + y}