Question

Let $A=\left\{1,2,3\right\}$ and $R=\left\{\left(1,1\right),\left(1,3\right),\left(3,1\right),\left(2,2\right),\left(2,1\right),\left(3,3\right)\right\}$, then the relation $R$ and $A$ is

• A. reflexive
• B. symmetric
• C. transitive
• D. equivalence

Answer 1

The correct option is A reflexive

$A=\{1,2,3\}R=\left\{\right(1,1),(1,3),(3,1),(2,2),(2,1),(3,3\left)\right\}$

The relation $R$ on $A$ is reflexive.

Since $(1,1),(2,2),(3,3)$exist.

Also $(1,3),(3,1)$ exist but $(1,2),(2,1)$ does not . Hence it is not symmetric.