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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):|a-b|` is even }, is an equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are related to each other. But, no element of {1, 3, 5} is related to any element of {2, 4}.

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