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.
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.