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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.
Solution
R = {(a, b): a, b ∈ Z, a – b is an integer}
If a, b ∈ Z, then a - b ∈ Z
=> Every ordered pair of integers is contained in R.
R ={(a, b) : a, b ∈ Z}
So, Range of R = Domain of R = Z.
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