Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by

{(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: A = {1, 2, 3, 4, 6}

R = {(a, b): a, b ∈ A, b is exactly divisible by a}

Hence the relation in roaster form, R = {(1,1), (1,2), (1,3), (1,4), (1,6), (2,2), (2,4), (2,6), (3,3), (3,6), (4,4), (6,6)}

As Domain of R = set of all first elements of the order pairs in the relation.

⇒ Domain of R = {1, 2, 3, 4, 6}

Range of R = set of all second elements of the order pairs in the relation.

⇒ range of R = {1, 2, 3, 4, 6}.