Question

The given figure shows a relationship between the sets P and Q. Write this relation

1. in set-builder form
2. in roster form.

What is its domain and range?

Answer 1

According to the given figure, P = {5, 6, 7}, Q = {3, 4, 5}
(i) R = {(x, y): y = x- 2; x ∈ P} or R = {(x, y): y = x - 2 for x= 5, 6, 7}
(ii) R = {(5, 3), (6, 4), (7, 5)}
Domain of R = {5, 6, 7}
Range of R = {3, 4, 5}