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Let R be the relation defined in the set...

Let R be the relation defined in the set `A={1,2,3,4,5,6,7,8,9}` 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 lements of the subset `{1,3,5,7,9}` are related to one another and all the lement of the subset {2,4,6,8} are related to one another but no element of the subset `{1,3,5,7,9}` is related to any element of the subset `{2,4,6,8}`.

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The correct Answer is:
element of second set is even.
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