Question

The following relation is defined on the set of real number:

$aRb⟺|a-b|>0$

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

Answer 1

The correct option is A symmetric

$R$ is symmetric as, $|a-b|>0\Rightarrow |b-a|>0$
But not reflexive as, $|a-a|=0$
Also not transitive as $|3-1|>0,|1-3|>0$ but $|3-3|=0$