- #1
arnold28
- 14
- 0
Homework Statement
Find the equivalence class [2] for the following equivalence relations:
a) R: Z <-> Z, where xRy, iff |x| = |y|
b) T: N <-> N, where xTy, iff xmod4 = ymod4
N means natural numbers etc...there wasnt the correct symbols in the latex reference
Homework Equations
??
The Attempt at a Solution
Ok so I know how to do the b) part, because we had examples at the class, its:
[0] = {0,4,8,12,...}
[1] = {1,5,9,13,...}
[2] = {2,6,10,14,...}
so the answer is [2] = {2,6,10,14,...} right?
but i don't know how i start to build it when i have |x| = |y|
its probably something very easy and i just don't get it for some reason