Question

Let $A=\{1,2,3\},B=\{1,3,5\}$.
A relation $R:A\to B$ is defined by $R=\left\{\right(1,3),(1,5),(2,1\left)\right\}.$
Then $R^{-1}$ is defined by

Answer 1

Using $(x,y)\in R\iff (y,x)\in R^{-1},$

Since $R=\left\{\right(1,3),(1,5),(2,1\left)\right\}.$
$\therefore R^{-1}=\left\{\right(3,1),(5,1),(1,2\left)\right\}$