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Antisymmetric, transitive, and partial order relations

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Let R be a relation on all real numbers x, y such that x is related to y if and only if x^2 <= y^2. Is R antisymmetric? transitive? a partial order relation? Prove or give a counter example.

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Solution Summary

This is a proof regarding a relation on real numbers. An antisymmetric, transitive, and partial order relations are examined.

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