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

Answer: (B)

transitive

Answer 2

$R$ 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 $c$.