Question

A relation R on a non – empty set A is an equivalence relation if it is ____________.

Options

• reflexive

• reflexive, symmetric, and transitive

• symmetric and transitive

• reflexive, antisymmetric, transitive

Answer 1

A relation R on a non – empty set A is an equivalence relation if it is reflexive, symmetric, and transitive.

Explanation:

A relation is considered to have equivalence if it is reflexive, symmetric, and transitive, according to the definition of Equivalence Relation.