Question: Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the

Determine whether each relation is an equivalence relation.

Justify your answer.

If the relation is an equivalence relation, then describe the partition defined by the equivalence classes.

(a)The domain is a group of people.Person x is related to person y under relation M if x and y have the same favorite color.You can assume that there is at least one pair in the group, x and y, such that x M y.

(b)Thedomainisthesetofallintegers. xEy if x+y iseven.An integer z is even if z= 2k for some integer k.

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