Question

$R$ is a relation from $\{11,12,13\}$ to $\{8,10,12\}$ defined by $y=x-3$ then the $R^{-1}$ .

• A. $\left\{\right(11,8),(13,10\left)\right\}$
• B. $\left\{\right(8,11),(10,13\left)\right\}$
• C. $\left\{\right(8,11),(9,12),(10,13\left)\right\}$
• D. $Noneofthese$

Answer 1

The correct option is B $\left\{\right(8,11),(10,13\left)\right\}$

$x=\{11,12,13\},y=\{8,10,12\}$
Now, $y=x-3$

So, the relation $R$ becomes $\left\{\right(11,8),(13,10\left)\right\}$
So, $R^{-1}$ becomes $\left\{\right(8,11),(10,13\left)\right\}$