Question

If a relation $R$ is defined on set $A=\{2,3,4,5\}$ as $R=\left\{\right(a,b),a,b\in A:a+b>10\},$ then the relation $R$ is

• A. an identity relation
• B. a universal relation
• C. a void relation
• D. not a relation

Answer 1

The correct option is C a void relation

$A=\{2,3,4,5\}$
$R=\left\{\right(a,b),a,b\in A:a+b>10\}$
As $a,b\in A$, so
$a+b\le 10$
Therefore
$a+b>10$ not possible
So, $R$ is a void relation.