Question

Let A = {2, 3, 4, 5} and B = {3, 6, 7, 10}. Let R = {(x, y): x ϵ A, y ϵ B and x is relatively prime to y}. 

(i) Write R in roster form. 

(ii) Find dom (R) and range (R)

Answer 1

Given: A = {2, 3, 4, 5} and B = {3, 6, 7, 10} 

(i) R = {(x, y), : x ϵ A, y ϵ B and x is relatively prime to y} 

So, R in Roster Form, 

R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)} 

(ii) Dom(R) = {2, 3, 4, 5} 

Range(R) = {3, 6, 7, 10}