Finite Mathematics Quiz
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LOGIC, SETS, AND NETWORKS
Question 1
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Consider sets
X
X
X
and
Y
Y
Y
where
X
⊆
Y
⊆
U
X \subseteq Y \subseteq U
X
⊆
Y
⊆
U
and
∣
U
∣
=
200
|U| = 200
∣
U
∣
=
200
. If
∣
(
X
∪
Y
)
c
∣
=
60
|(X \cup Y)^c| = 60
∣
(
X
∪
Y
)
c
∣
=
60
and
∣
X
c
∩
Y
∣
=
45
|X^c \cap Y| = 45
∣
X
c
∩
Y
∣
=
45
, what is
∣
X
∣
|X|
∣
X
∣
?
A
∣
X
∣
=
85
|X| = 85
∣
X
∣
=
85
elements based on set complement relationships
B
∣
X
∣
=
95
|X| = 95
∣
X
∣
=
95
elements based on set complement relationships
C
∣
X
∣
=
105
|X| = 105
∣
X
∣
=
105
elements based on set complement relationships
D
∣
X
∣
=
115
|X| = 115
∣
X
∣
=
115
elements based on set complement relationships
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