1.

Let R be the relation on Z defined by R={{a,b): a, b element of Z,a^2=b^2}. Find R, domain and range of R​

Answer»

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.


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