Question

If a relation $R$ on the set $\{1$, $2$, $3\}$ be defined by $R = \{(1$, $2)\}$, then $R$ is

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

Answer 1

The Correct Option is B

$R$ on the set $\{1,2,3\}$ be defined by $R =\{( 1 , 2 )\}$ It is clear that $R$ is transitive. a homogeneous relation $R$ over a set $X$ is transitive if for all elements $a, b, c$ in $X$, whenever $R$ relates a to $b$ and $b$ to $c$, then $R$ also relates $a$ to $c$.