Question

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.

Class XI - Relations and Functions Page 36

Answer 1

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

We know sum of difference of integers is an integer so
Domain of R= Z
Range of R= Z

Answer 2

Answer:

Domain : R

Range : R

Step-by-step explanation:

Given,

Relation R = {(a, b): a, b ∈ Z, a – b is an integer}

We know that the difference between any two integers is always an integer.

Therefore,

Domain of R = Z and Range of R = Z