Question

Let $A=\{7,8,9,10\}$ and $R=\{(8,8),(9,9),(10,10),(7,8)\}$ be a relation on $A$, then $R$ is

• A. Transitive
• B. Reflexive
• C. Symmetric
• D. None of these

Answer 1

Answer: (A)

As $(7,7)\notin R$, so $R$ can not be reflexive.
Again $(7,8)\in R$ but $(8,7)\notin R$, so $R$ is not symmetric.
As $(7,8),(8,8)\in R$
$\therefore R$ is transitive.