Question

Let $A=\{1,2,3,4\},$ and let $R=\{(2,2),(3,3),(4,4),(1,2)\}$ be a relation on $A$.Then $R$ is

• A. reflexive
• B. symmetric
• C. transitive
• D. none of these

Answer 1

The correct option is C transitive

$R$ is not reflexive as every element is not related to itself.

$R$ is not symmetric as $(1,2)ϵR$ but $(2,1)\in R$

$T:(1,2)ϵR,(2,2)ϵR$

$Also(1,2)ϵR$

Hence $R$ is Transitive.