Give an example of a relation on a set that is both symmetric and transitive but not
Chapter 14, Problem 14.16(choose chapter or problem)
Give an example of a relation on a set that is both symmetric and transitive but not reflexive. Explain what is wrong with the following proof. Statement: If R is symmetric and transitive, then R is reflexive. Proof: Suppose R is symmetric and transitive. Symmetric means that x R y implies yR x. We apply transitivity to xR y and yR x to give xR x. Therefore R is reflexive.
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