Question

Define equivalent relation. Prove that the relation of equility in the set of real numbers is an equivalence relation.

Answer 1

Answer:

Step-by-step explanation:

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The relation "is equal to" is the canonical example of an equivalence relation, where for any objects a, b, and c: a = a (reflexive property), if a = b then b = a (symmetric property),