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

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

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The given relation on `N` is `R=[(x, y): x+2 y=8]`.

Let us find the different integral values of `y` for different integral values of `x`.

For `x=2, y=3`

For `x=4, y=2`

For `x=6, y=1`

`therefore R={(2,3),(4,2),(6,1)}`

Therefore, the range of `R` is `{1,2,3}`.

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