Question

Let $R=\left\{\right(1,3),(4,2),(2,4),(2,3),(3,1\left)\right\}$ be a relation on the set $A=\{1,2,3,4\}$. The relation $R$ is

• A. not symmetric
• B. transitive
• C. a function
• D. reflexive

Answer 1

The correct option is A not symmetric

$R$ is not a function as $A=\{1,2,3,4\}$ and $(2,4)\in R$and $(2,3)\in R$

$R$ is not reflexive as $(1,1)\notin R$

$R$ is not symmetric as $(2,3)\in R$ but $(3,2)\notin R$

$R$ is not transitive as $(1,3)\in R$ and $(3,1)\in R$ but $(1,1)\notin R$