Question

In fig. 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?

Answer 1

i. Since, 

5 – 3 = 6 – 4 

= 7 – 5 = 2 

∴ x – y = 2 

Where xP and yQ 

So, 

R = {(x, y): x – y = 2, xP, 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}