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?

Figure

Answer 1

(i) We have:
5$-$2 = 3
6$-$2 = 4
7$-$2 = 5
∴ R = $\left\{\right(x,y):y=x-2,x\in P,y\in Q\}$

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

(iii) Domain (R) = {5, 6, 7}
Range (R) = {3, 4, 5}