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}
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.