Question: A relation R on a nonempty set A is defined to be circular if whenever a R b and b R c, then c R

A relation R on a nonempty set A is defined to be circular if whenever a R b and b R c, then c R a for all a, b, cA. Prove that a relation R on A is an equivalence relation if and only if R is reflexive and circular.

A relation R on a nonempty set A is defined to be

11. A relation R on a nonempty set A is defined to be circular if whenever a R b and b R c, then c R a for all a, b, c E A. Prove that a relation R on A is an equivalence relation if and only if R is reflexive and circular

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