Let A= {1, 2, 3, 4, 5, 6}. Let R be a relation on A defined by
R= {(a, b): a, b A, b is exactly divisible by a}
i. Write R in roster form
ii. Find the domain of R
iii. Find the range of R.
Given,
R= {(a, b): a, b A, b is exactly divisible by a}
A= {1, 2, 3, 4, 5, 6}
Here,
6 is exactly divisible by 1, 2, 3 and 6
5 is exactly divisible by 1 and 5
4 is exactly divisible by 1, 2 and 4
3 is exactly divisible by 1 and 3
2 is exactly divisible by 1 and 2
1 is exactly divisible by 1
i. R = {(1, 1), (2, 1), (2, 2), (3, 1), (3, 3), (4, 1), (4, 2), (4,4), (5, 1), (5, 5), (6, 1), (6, 2), (6, 3), (6, 6)}
ii. Domain of relation R = {1, 2, 3, 4, 5, 6}
iii. Range of relation R = {1, 2 , 3, 4, 5, 6}