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Show that each of the relation R in set ...

Show that each of the relation R in set `A = { x in Z : 0 le x le 12},` given by
(i) `R = {(a,b) : |a-b|` is a multiple of 4}
(ii) `R = {(a,b) : a=b}`
is an equivalence relation. Find the set of all elements related to 1 in each case.

Text Solution

Verified by Experts

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