Question

Let R be the relation on Z defined by : R= { ( a,b) : a, b ∈ Z ), a - b is an integer }

find the domain & range of R.​

Answer 1

Answer:

The relation R on Z is defined by 

The relation R on Z is defined by R={(a,b):a,b∈Z,a−b is an integer}

The relation R on Z is defined by R={(a,b):a,b∈Z,a−b is an integer}Since a−b is an integer for all a, b∈Z. 

The relation R on Z is defined by R={(a,b):a,b∈Z,a−b is an integer}Since a−b is an integer for all a, b∈Z. So, Domain (R)=Z, Range (R)=Z.