#### 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* =

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

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

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

(d) none of these

#### Solution

(d) 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.