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In Exercises 21–23 determine whether the relation with the directed graph shown is an equivalence relation.

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In Exercises 21–23 determine whether the relation with the directed graph shown is an equivalence relation.

Answered Same Day Dec 29, 2021

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Robert answered on Dec 29 2021
110 Votes
Recall the following:
(i) A relation R on a set is called an equivalent relation if it is reflexive, symmetric and transitive.
(ii) A relation R is reflexive if and only if there is a loop at every vertex of the directed graph of R.
(iii) A relation R is symmetric if and only if for every edge...
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