# If

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 can be 1, 2, 3 only.

Also, y = 4 cannot result in = 0 because x is a natural number.

Therefore, range of is {1, 2, 3}.