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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.

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Solution

The given relation is R={ ( a,b ):a,bZ,abisaninteger } .

It is known that the difference of integer is also an integer. So, ( ab ) is also an integer.

The set of all first elements of the ordered pair in a relation R is called domain.

DomianofR=Z

The set of all second elements of the ordered pair in a relation R is called range.

RangeofR=Z

Thus, the domain and range of the given relation is integers.


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