Let
C = D = {−3, −2, −1, 1, 2, 3}
and define a relation S from C to D as follows.
For every
(x, y) ∈ C ✕ D,
(x, y) ∈ S means that
1
x
−
1
y
is an integer.
(a)
Is 2 S 2?
Yes
No
Is
−1 S −1?
Yes
No
Is (3, 3) is in S?
Yes
No
Is (3, −3) is in S?
Yes
No
(b)
Write S as a set of ordered pairs. (Enter your answer in set-roster notation.)
S =
(c)
What is the domain of S? (Enter your answer in set-roster notation.)
domain of S =
What is the co-domain of S? (Enter your answer in set-roster notation.)
co-domain of S =