Chapter 1.3, Problem 2ES

Let $C=D=\left\{-3,-2,-1,1,2,3\right\}$ and define a elation S from C to D as follows: For every $\left(x,y\right)\in C\times D$ .

$\left(x,y\right)\in S$ means that $\frac{1}{x}-\frac{1}{y}$ is an integer.

1. Is 2 S 1? Is -1 S -1? Is $\left(3,3\right)\in S$ ? Is $\left(3,-3\right)\in S$
2. Write S as a set of ordered pairs.
3. Write the domain and co-domain of S.
4. Draw an arrow diagram for S.