Question

If $A=\{1,2,3\}$, $B=\{1,4,6,9\}$ and $R$ is relation from $A$ to $B$ defined by ${}^{\prime }{x}^{\prime }$ is greater than ${}^{\prime }{y}^{\prime }$. Then range of $R$ is

• A. $\{1,4,6,9\}$
• B. $\{4,6,9\}$
• C. $\left\{1\right\}$
• D. None of these

Answer 1

The correct option is C $\left\{1\right\}$

Here $R$ is a relation $A$ to $B$ defined by $x$ is greater than $y$.
$\therefore R=\left\{\right(2,1);(3,1\left)\right\}$. Hence, range of $R=\left\{1\right\}$