#### Question

If R is a relation on the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} given by x R y ⇔ y = 3 x, then R = _____________ .

{(3, 1), (6, 2), (8, 2), (9, 3)}

{(3, 1), (6, 2), (9, 3)}

{(3, 1), (2, 6), (3, 9)}

none of these

#### Solution

none of these

The relation R is defined as

R = {(x, y) : x, y ∈ A : y = 3x}

⇒ R = {(1, 3), (2, 6), (3, 9)}

Is there an error in this question or solution?

Solution If R is a Relation on the Set a = {1, 2, 3, 4, 5, 6, 7, 8, 9} Given by X R Y ⇔ Y = 3 X, Then R = (A) {(3, 1), (6, 2), (8, 2), (9, 3)} (B) {(3, 1), (6, 2), (9, 3)} (C) {(3, 1), (2, 6), (3, 9)} (D) Concept: Types of Relations.