Question

Let A = {1, 2, 3, 4, 5, 6}.

Define a relation R from A to A by R = {(x, y): y = x + 1}.

(i) Write R in roster form.

(ii) Find dom (R) and range (R). 

(iii) What is its co-domain? 

(iv) Depict R by using arrow diagram.

Answer 1

Given: A = {1, 2, 3, 4, 5, 6} 

(i) R = {(x, y): y = x + 1} 

So, R is Roster Form is, 

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)} 

(ii) Dom(R) = {1, 2, 3, 4, 5} 

Range(R) = {2, 3, 4, 5, 6} 

(iii) Here, y = x + 1 

So, the CoD(R) = {1, 2, 3, 4, 5, 6,………… } 

(iv)