Let R be the relation on Z defined by R = {(a,b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R

Solution:

It is given that

R = {(a, b) : a, b ∈ Z, a - b is an integer}.

It is known that the difference between any two integers is always an integer.

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of all its outputs.

Therefore,

The domain of R = Z

The Range of R = Z

Here Z is denoted as an integer

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.2 Question 9

Let R be the relation on Z defined by R = {(a,b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R.

Summary:

The relation on Z defined by R = {(a, b) : a, b ∈ Z, a - b is an integer} are given. We have found that the domain of R = Z and the Range of R = Z