Let R be the relation on Z defined by R = {(a, b) Z, a – b is an integer}. Find the domain and range of R.
Given, R = {(a, b) Z, a – b is an integer}
Z denotes integer, and here a and b both are integers
We know that difference of two integers is always an integer
∴ a and b can be any integer in relation R
⇒ The domain of relation R = Z (as a Z)
The range of relation R = Z (as b Z)