Question

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. 

Answer 1

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. 

∴ Domain of R = Z Range of R = Z