Question

Let $R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}$ 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

Answer: (A)

$R$ is not symmetric as $(2,3)\in R$ but $(3,2)\notin R$. It is not transitive as $(1,3),(3,1)\in R$.
but $(1,1)$ $\notin R$ so is not reflexive also.
Again as $(2,4)$ and $(2,3)\in R$, it is not a function.