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Let R be the relation defined in the ...

Let R be the relation defined in the set `A" "=" "{1," "2," "3," "4," "5," "6," "7}` by `R" "=" "{(a ," "b):` both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset `{1," "3

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