(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

??

3. 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 dont know how i start to build it when i have |x| = |y|

its probably something very easy and i just dont get it for some reason

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# Finding Equivalence Class

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