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4: For each of the following relations on the set R of real numbers, indicate whether that relation satisfies each of the following properties: reflexive,
4: For each of the following relations on the set R of real numbers, indicate whether that relation satisfies each of the following properties: reflexive, symmetric, transitive and antisymmetric. For each relation, indicate whether it is an equivalence relation or a partial order. If it is a partial order, indicate whether it is a total order. If it is an equivalence relation, describe its equivalence classes.
a. x R y xy 0
b. x R y x > y
c. x R y |x| = |y|
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