Equivalence Relations, Partitions and Equivalence Classes Consider the partition P={{0},{−1,1},{−2,2},{−3,3},{−4,4},...} of Z. Describe the equivalence relation whose equivalence classes are the elements of P. I'm struggling to grasp what the question is asking and how to go about solving it.
Hint: What are the equivalence classes of the relation $\sim$ on $\mathbb Z$ defined by $x\sim y$ if and only if $x=\pm y$?
Consider set of integers $\Bbb Z$ With given any partition p then $x=\pm y$ if and only if {${x,y}$} $\in$ P