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Question:

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}