Let us define a relation $R$ in $R$ as $aRb$ if $a \ge b$. Then, $R$ is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → reflexive, transitive but not symmetric ##
Given that, $aRb$ if $a \ge b$
$\Rightarrow aRa \Rightarrow a \ge a$ which is true.
Let $aRb, a \ge b$, then $b \ge a$ which is not true. $R$ is not symmetric.
But $aRb$ and $bRc$
$\Rightarrow a \ge b$ and $b \ge c$
$\Rightarrow a \ge c$
Hence, $R$ is transitive.