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.

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Exercise5 (4p)

R is therElation
defined Z as follows
on
forallm, n Z, rnR n er4 | (m-n)
a. Determine whethet relationis reflexrve,
the
b. Deiermine whethe! relationis slmmetric.
the
c, Detemine whether relationis Fansitive,
the
d. I-ncase rclatiotr anequivalence
tho is relation,
describe distinctequivaletrce
the
crasses,

SolufionExercise
5