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

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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.

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➡️Given,

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

➡️We know that the difference between any two integers is always an integer.

➡️Therefore,

➡️Domain of R = Z and Range of R = Z