Let C=D={-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all

( x , y ) \in C \times D
(x,y)∈C×D

.

( x , y ) \in S
(x,y)∈S

means that

\frac { 1 } { x } - \frac { 1 } { y }
x
1
​
−
y
1
​


is an integer. a. Is 2 S 2? Is -1S-1? Is (3, 3)

\in S ?
∈S?

Is (3, -3)

\in S ?
∈S?

b. Write S as a set of ordered pairs. c. Write the domain and co-domain of S. d. Draw an arrow diagram for S.