# The adjacent figure shows a relationship between the sets P and Q.

Question:

The adjacent figure shows a relationship between the sets P and Q. Write this relation in (i) set builder form (ii) roster form. What is its domain and range?

Solution:

(i) We have:

$5-2=3$

$6-2=4$

$7-2=5$

$\therefore \mathrm{R}=\{(x, y): y=x-2, x \in P, y \in Q\}$

(ii) R = {(5, 3), (6, 4), (7, 5)}

(iii) Domain (R) = {5, 6, 7}

Range (R) = {3, 4, 5}