Question

Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5}, x is a natural number less than $4;x,yϵN\}$. Depict this relationship using roster form. Write down the domain and the range.

Answer 1

Here R = {(x, y): y + 5, x is a natural number less than $4;x,yϵN$}

Putting x = 1, 2, 3 in y = x + 5, we get y = 6, 7, 8,

$\therefore R=\left\{\right(1,6),(2,7),(3,8\left)\right\}$

Domain = {1, 2, 3}

Range = {6, 7, 8}