Question

1. *If R = {(x, y) : x + 2y = 8} is a relation on N, write the range of R.

Answer 1

Sol. R = {(x, y) : x + 2y = 8} is a relation on N

Then we can say 2y = 8 - x

y=4−x2y=4−x2

so we can put the value of x, x = 2, 4, 6 only
we get y = 3 at x = 2
we get y = 2 at x = 4
we get y = 1 at x = 6
so range = {1, 2, 3}