Question

Let A = {1, 3, 5, 7} and B = {2, 4, 6, 8}.

Let R = {(x, y), : x ϵ A, y ϵ B and x > y}. 

(i) Write R in roster form. 

(ii) Find dom (R) and range (R). 

(iii) Depict R by an arrow diagram

Answer 1

Given: A = {1, 3, 5, 7} and B = {2, 4, 6, 8} 

(i) R = {(x, y), : x ϵ A, y ϵ B and x > y} 

So, R in Roster Form, 

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

(ii) Dom(R) = {3, 5, 7} 

Range(R) = {2, 4, 6} 

(iii)