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