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Mathematics
Mathematics
Problem
Suppose
U
=
Z
U = \mathbb{Z}
U
=
Z
,
R
=
{
x
∈
Z
∣
−
2
≤
x
≤
4
}
R = \{x \in \mathbb{Z} \mid -2 \le x \le 4\}
R
=
{
x
∈
Z
∣
−
2
≤
x
≤
4
}
, and
S
=
{
x
∈
Z
∣
0
≤
x
<
7
}
S = \{x \in \mathbb{Z} \mid 0 \le x < 7\}
S
=
{
x
∈
Z
∣
0
≤
x
<
7
}
. a. List
R
R
R
and
S
S
S
. b. Find
R
∩
S
R \cap S
R
∩
S
. c. Find
R
∪
S
R \cup S
R
∪
S
. d. Show that
n
(
R
∪
S
)
=
n
(
R
)
+
n
(
S
)
−
n
(
R
∩
S
)
n(R \cup S) = n(R) + n(S) - n(R \cap S)
n
(
R
∪
S
)
=
n
(
R
)
+
n
(
S
)
−
n
(
R
∩
S
)
.
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