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Show that the relation R on the set A={1...

Show that the relation R on the set A={1, 2, 3, 4, 5} given by R={(a,b):`abs(a-b)` is even} in an equivalence ralation.

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State the reason for the relation R in the set {1, 2, 3} given by R ={(1, 2), (2, 1)} not to be transitive.

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