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Mathematics, 23.06.2020 19:01 100113801
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 y R x. We apply transitivity to x R y and y R x to give x R x. Therefore, R is reflexive
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Give an example of a relation on a set that is both symmetric and transitive but not reflexive. Expl...
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