Define a relation R from Z to Z, given by
R = {(a, b): a, b ϵ Z and (a – b) is an integer.
Find dom (R) and range (R).
Given: R = {(a, b): a, b ϵ Z and (a – b) is an integer
The condition satisfies for all the values of a and b to be any integer.
So, R = {(a, b): for all a, b ϵ (-, )}
Dom(R) = {-, }
Range(R) = {-, }