Question

Determine the domain and range of the relation R defined by:

$R=\left\{\right(x,x+5):xϵ\{0,1,2,3,4,5\left\}\right\}$

Answer 1

Here $R=\left\{\right(x,x+5):xϵ\{0,1,2,3,4,5\left\}\right\}$

$=\left\{\right(a,b):a=0,1,2,3,4,5\}$

Now a = x and b = x + 5

Putting a = 0, 1, 2, 3, 4, 5 we get

b = 5, 6, 7, 8, 9, 10.

$\therefore$ Domain of R = {0, 1, 2, 3, 4, 5}

Range of R = {5, 6, 7, 8, 9, 10}