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  4. 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

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Q. 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

Relations and Functions - Part 2

Solution:

$R$ 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.