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 $R$

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\

Professor PC Thomas Classes · Answer

(a) : $R$ 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 $(1,1) 
otin R$\ $R$ is not symmetric as $(2,3) \in R$ but $(3,2) 
otin R$ $R$ is not transitive as $(1,3) \in R$ and $(3,1) \in R$ but $(1,1) 
otin R$.\