relation congruence mod 3 and its equivalence classes
By Abigail Rogers •
I have the relation congruent modulo 3 on the set $A=\{0,1,2,3,4,5\}$ and I have to find all of the equivalence classes for each element of $x$ of $A$.
I saw a different post where they split the set into three classes: one where the elements are divisible by 3, one where the elements have a remainder of 1, and one where the elements have a remainder of 2.
So basically $A_{0}=\{{0,3}\}$ and $A_{1}=\{{1,4}\}$ and $A_{2}=\{{2,5}\}$.
I don't really get how they decided to split the set up like this and also how to figure out what [0],[1],[2],...,[5] is for this. Also does this mean that some of the equivalence classes between 0 and 5 are equal?
$\endgroup$ 3 Reset to default
