Question

The relation $R=\left\{\right(1,1),(2,2),(3,3\left)\right\}$ on the set $\{1,2,3\}$ is

• A. Reflexive relation only
• B. Reflexive and Symmetric relation only
• C. Equivalence relation
• D. Reflexive but not Transitive relation

Answer 1

The correct option is C Equivalence relation

$R$ is an identity relation on the set $\{1,2,3\}$ and we know that an identity relation is always an equivalence relation.