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-

(1) transitive

(2) not symmetric

(3) reflexive

(4) a function

Answer 1

$(1,1) \notin R \quad \therefore \quad$ not reflexive

$(2,3) \in \mathrm{R}$ and $(3,2) \notin \mathrm{R}$ not symmetric

$(1,3) \in R$ and $(3,1) \in R \quad$ but $(1,1) \notin R$

$\therefore \quad$ not transitive