(1) Define relation R on the real numbers, R, by xRy if and only if [x] = [y]. Determine which of the following properties the relation has (or doesn't have). If R has the property, prove it. If it doesn't, give a counterexample to demonstrate. • reflexive or/nor antireflexive • symmetric or/nor antisymmetric • transitive

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A: Introduction :--

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A: The complete solutions are given below