- #1
SMA_01
- 218
- 0
Homework Statement
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
Homework 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
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.