(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the given relation is an equivalence relation on the set. Describe the partition arising from each equivalence relation:

xRy in ℝ if x≥y

2. Relevant equations

Reflexive: for all x in X, x~x

Symmetric: for all x,y in X, if x~y, then y~x

Transitive: for all x,y,z in X, if x~y, and y~z, then x~z

3. The attempt at a solution

I showed that it's reflexive, because x≥x

I'm kind of confused in regards to how to show that it's symmetric and transitive (if it is)?

Any help is appreciated, thanks.

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# Equivalence relation ?

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