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.

Question

Philoid · Accepted Answer

Given: R = {(a, b): a, b ∈ Z, a – b is an integer}

As we know that the difference between any two integers is always an integer.

As Domain of R = set of all first elements of the order pairs in the relation.

⇒ Domain of R = Z

Range of R = set of all second elements of the order pairs in the relation.

⇒ range of R = Z