# Relations : Properties and Equivalence Classes

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Exercise 5 (4p)

R is the relation defined on Z ts follows:

for all m,n E Z, m R n <=>4|(m-n)

a. Determine whether the relaition is reflexive.

b. Determine whether the relation is symmetric.

c. Determine whether the relation is transitive.

d. In case the relation is an equivalence relation, describe the distinct equivalence classes.

https://brainmass.com/math/recurrence-relation/relations-properties-equivalence-classes-19770

#### Solution Summary

A relation's porperties and equivalence classes are investigated.

$2.19