8. Two marks exercise problems II

Let \(A = \{1,2,3,4,...,45\}\) and \(R\) be the relation defined as "is square of" on \(A\). Write \(R\) as a subset of \(A \times A\). Also, find the domain and range of \(R\).

 

Answer:

 

\(\mathbb{R} =\) $\left\{\left(i,i\right),\left(i,i\right),\left(i,i\right),\left(i,i\right),\left(i,i\right),\left(i,i\right)\right\}$

 

Domain of \(\mathbb{R}\) \(=\) $\left\{i,i,i,i,i,i\right\}$

 

Range of \(\mathbb{R}\) \(=\) $\left\{i,i,i,i,i,i\right\}$