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Let R be the relation on Z defined by R=...

Let `R` be the relation on `Z` defined by `R={(a , b): a , b in , a-b` is an integer`}dot` Find the domain and range of `Rdot`

Text Solution

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Given R={(a,b):a,b∈Z,a−b is an integer}
a∈Z So, Domain of R is Z.
R is such that a−b∈Z and we have a∈Z so b∈Z.
So, Range of R is Z.
∴ Domain of R=Z and Range of R=Z.
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Knowledge Check

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