N noced New member Joined Sep 1, 2014 Messages 4 Nov 21, 2014 #1 Prove that the relation R on R (the real numbers) defined by xRy if and only iff (x-y) E Z is an equivalence relation.
Prove that the relation R on R (the real numbers) defined by xRy if and only iff (x-y) E Z is an equivalence relation.
H HallsofIvy Elite Member Joined Jan 27, 2012 Messages 7,760 Nov 24, 2014 #2 First, what is the definition of "equivalence relation"? What do you need to prove to show that a relation is an equivalence relation?
First, what is the definition of "equivalence relation"? What do you need to prove to show that a relation is an equivalence relation?
