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).

Question

Philoid · Accepted Answer

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) = {-, }