Question

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by R = {(a, b): a, b ∈ A, b is exactly divisible by a} 

1. Write R in roster form. 

2. Find the domain of R.  

3. Find the range of R. 

Answer 1

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

2. Domain of R = {1, 2, 3, 4, 6} 

3. Range of R = {1, 2, 3, 4, 6}