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.