Question

Let $R=\left\{\right(1,3),(4,2),(2,4),(2,3),(3,1\left)\right\}$ be a relation on the set $A$=$\{1,2,3,4\}$. The relation $R$ is

• A. a function
• B. reflexive
• C. not symmetric
• D. transitive

Answer 1

The correct option is C not symmetric

$(2,3)\in R$ but $(3,2)\in R$
Hence R is not symmetric.
The relation is not a function, because $(2,4)$ and $(2,3)$ both exist.
The relation is not reflexive as $(2,2)$ does not exist.
The relation is not transitive as $(4,2)$ and $(2,3)$ exist but $(4,3)$ does not exist.