Question

If $R=\left\{\right(x,y):x+2y-8\}$ is a relation on N, write the range of R

Answer 1

Since $x+2y-8$ that implies, $y-\frac{1}{2}(8-x)$.

$\therefore R=\left\{\right(2,3),(4,2),(6,1\left)\right\}$. So, range of $R=\{1,2,3\}$.