Question

If the relation $R:A\to B$ where $A=\{1,2,3,4\},B=\{1,3,5\}$ is defined by $R=\left\{\right(x,y):x<y,x\in A,y\in B\}$ then find $R$ and $R^{-1}$.

Answer 1

Given the relation $R:A\to B$ where $A=\{1,2,3,4\},B=\{1,3,5\}$ is defined by $R=\left\{\right(x,y):x<y,x\in A,y\in B\}$.

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

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