# Math Help - Relations Equivalence

1. ## Relations Equivalence

Here is the problem:

a) Let R1 be the relation R1 = {(m,n) E Z X Z| |m| = |n|}. Show that R1 is an equivalence relation.

and

b) Find the equivalence classes of [0], [3], [-4] in R1

Any help would be great.

Thanks
Tyson

2. What have you done for yourself?
Can you give it a start at least?
Can you show the relation is reflexive?

3. Originally Posted by tyelford

Here is the problem:

a) Let R1 be the relation R1 = {(m,n) E Z X Z| |m| = |n|}. Show that R1 is an equivalence relation.

and

b) Find the equivalence classes of [0], [3], [-4] in R1

Any help would be great.

Thanks
Tyson

Perhaps doing part (b) first would be helpful. For $n \in \mathbb{Z}$, what elements are "related" to $n$?