Question

If $R$ is the relation 'less than' from $A=\{1,2,3,4,5\}$ to $B=\{1,4\}$, the set of ordered pairs corresponding to $R$, then the inverse of $R$ is

• A. $\left\{\right(3,1),(3,2),(3,3\left)\right\}$
• B. $\left\{\right(4,1),(4,2),(4,3\left)\right\}$
• C. $\left\{\right(4,3),(4,4),(4,5\left)\right\}$
• D. $\left\{\right(1,3),(2,4),(3,5\left)\right\}$

Answer 1

The correct option is B $\left\{\right(4,1),(4,2),(4,3\left)\right\}$

$\because R$ is the relation 'less than' from $A$ to $B$.

So $R=\left\{\right(1,4),(2,4),(3,4\left)\right\}$

$R^{-1}=\left\{\right(4,1),(4,2),(4,3\left)\right\}$