Question

define equivalence relation and given an example​

Answer 1

Answer:

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. Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes.

Equivalence relations can be explained in terms of the following examples: The sign of 'is equal to (=)' on a set of numbers; for example, 1/3 = 3/9. For a given set of triangles, the relation of 'is similar to (~)' and 'is congruent to (≅)' shows equivalence.

Answer 2

Step-by-step explanation:

Definition 1. An equivalence relation is a relationship on a set, generally denoted by

“∼”, that is reflexive, symmetric, and transitive for everything in the set.