Question: If $R=\{(x, y): x+2 y=8\}$ is a relation on $N$ by, then write the range of $R$.
Solution:
$R=\{(x, y): x+2 y=8, x, y \in N\}$
Then, the values of y can be 1, 2, 3 only.
Also, y = 4 cannot result in x = 0 because x is a natural number.
Therefore, range of R is {1, 2, 3}.
