# The Adjacent Figure Shows a Relationship Between the Sets P and Q. Write this Relation in (I) Set Builder Form (Ii) Roster Form. What is Its Domain and Range? - Mathematics

The adjacent figure shows a relationship between the sets P and Q. Write this relation in (i) set builder form (ii) roster form. What is its domain and range?

#### Solution

(i) We have:
5 - 2 = 3

6 - 2 = 4

7 - 2=5

∴ R = ${(x, y) : y = x - 2, x \in P, y \in Q}$

(ii) R = {(5, 3), (6, 4), (7, 5)}

(iii) Domain (R) = {5, 6, 7}
Range (R) = {3, 4, 5}

Concept: Relation
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Exercise 2.3 | Q 19 | Page 21