# Antisymmetric, transitive, and partial order relations

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.

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:06 pm ad1c9bdddfhttps://brainmass.com/math/partial-differential-equations/antisymmetric-transitive-partial-order-relations-2493

#### Solution Summary

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

$2.19