Question

If $R=\left\{\right(x,y):x,y,ϵW,2x+y=8\},$ then write the domain and range of R.

Answer 1

We have,

$R=\left\{\right(x,y):x,yϵW,2x+y=8\}$

Now,

2x + y = 8

$\Rightarrow y=8-2x$

Putting x = 0, 1, 2, 3, 4 we get y = 8, 6, 4, 2, 0 respectively

For $x>4,y\text{/}ϵW$

$\therefore$ Domain (R) = {0, 1, 2, 3, 4} and Range (R) = {8, 6, 4, 2, 0} = {0, 2, 4, 6, 8}