Figure 2.15 shows a relationship between the sets P and Q. Write this relation in a. Set builder form b. Roster form c. What is its domain and range?

Question

Philoid · Accepted Answer

i. Since 5 – 3 = 6 – 4 = 7 – 5 = 2

∴ x – y = 2 where x P and y Q

So,

R = {(x, y): x – y = 2, x P, y Q}

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

iii. Domain of relation R = {5, 6, 7}

Range of relation R = {3, 4, 5}