Question

If R is a relation from set A = {11, 12, 13} to set B = {8, 10, 12} defined by y = x - 3, then write $R^{-1}$.

Answer 1

We have,

R is a relation from set A = {11, 12, 13} to be set B = {8, 10, 12} defined by y = x - 3

Putting x = 11, 12, 13, we get y = 8, 9, 10 respectively.

$\therefore (11,8)ϵR,(12,9)\text{/}ϵR$ and $(13,10)ϵR.$

$\therefore R=\left\{\right(11,8),(13,10\left)\right\}$

$\Rightarrow R^{-1}=\left\{\right(8,11),(10,13\left)\right\}$