# Prove that R is reflexive.

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8. Let R be a relation on a set S such that R is symmetric and transitive and for each x ε S there is an element y ε S such that x R y. Prove that R is an equivalence relation (i.e. prove that R is reflexive)

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#### Solution Summary

Reflexiveness is proven. The response received a rating of "5" from the student who posted the question.

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