Let C = D = {-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows:
For all (x, y) ∈ (C x D),
(x, y) ∈ S means that 1/x - 1/y is an integer
a. Is 2S2? Explain.
b. Is -1S-1? Explain.
c. Is (2, 1) ∈ S? Explain.
d. Is (2, -2) ∈ S? Explain.
e. Is (-3, -1) ∈ S? Explain.
f. Write S as a set of ordered pairs.
g. Write the domain and co-domain of S.
h. Draw an arrow diagram for S.