Question

When is a relation called an equivalence relation?

Options

• When it is symmetric and transitive but not reflexive.

• When it is either empty or universal.

• When it is reflexive, symmetric, and transitive.

• When it is only reflexive.

Answer 1

An equivalence relation requires all three properties together: reflexive, symmetric, and transitive. “Is equal to” relation is an example of an equivalence relation.