Question

Let $A=\{1,2,3\}$ and $R=\left\{\right(1,1),(1,3),(3,1),(2,2),(2,1),(3,3\left)\right\}$ then the relation R on A is:

• A. reflexive
• B. symmetric
• C. transitive
• D. Anti-symmetric

Answer 1

The correct option is A reflexive

Reflexive but not symmetric as

$(2,1)\in R$ but $(1,2)\notin R$

Not transitive as

$(2,1)$ and $(1,3)\in R$

but $(2,3)\notin R$