An equivalence relation is a relationship on a set, generally denoted by “∼”, that is reflexive, symmetric, and transitive for everything in the set. 1. (Reflexivity) a ∼ a, 2. (Symmetry) if a ∼ b then b ∼ a, 3.

How do you find the equivalence relation?

Equivalence Relation Practice Questions

Show that the given relation R is an equivalence relation, which is defined by (p, q) R (r, s) ⇒ (p+s)=(q+r) Check the reflexive, symmetric and transitive property of the relation x R y, if and only if y is divisible by x, where x, y ∈ N.

Which relation is an equivalence relation?

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.