Mathematics Homework Solutions
Problem
#6148

Equivalence Relation, equivalence classes and the partition defined by the relation.

Verify the relation R on Z defined by xRy iff 5(x-y), i.e., 5 divides x-y, is an equivalence relation. Describe the equivalence classes, and the partition defined by this equivalence relation.


Solution Summary

A relation is verified. The equivalence class and the partion defined by the relation is determined.

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