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Show that the relation R in the set A = ...

Show that the relation R in 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}.`

Text Solution

Verified by Experts

The correct Answer is:
(i) ` {1,5,9}, (ii) {1}`
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