Question

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

Answer 1

Step 1 Given
R={(a,b);a,b $ϵ$ Z,a -b is an integer}
Step 2 Domain & range of R
As we know, the difference between two integers is always an integer
Therefore,
Domain of R=Z & range of R=Z