If R = {(x, y) : x + 2y = 8} is a relation on N, write the range of R.
Solution:
x + 2y = 8, Given x, y are natural numbers, which implies x, y > 0 If y = 1, we get x = 6 If y = 2, we get x = 4 If y = 3, we get x = 2 For y ≥ 4, x won't be a natural number So the range of R is {1, 2, 3}