Transcript PPT
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Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
himpunan
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
3
A = {2, 3, 5, 7, 11} A = {x | x < 12; x bilangan prima}
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
3 9
A A
5
P N Z Q R C U
6
U
1 3
A
2 5
B
8 6 4 7
Kardinalitas
n
(
A
)
atau
|
A
| |
A
|
=
5
Himpunan kosong
(null set)
K
=
{ } K
= ⌀ 9
U A
irisan
B
A
∩
B
U
gabungan
A B
A
∪
B
U A
selisih
B A
-
B
=
A
∩
B
beda-setangkup A
-
B
=
A
∩
B
Komplemen U A A
= {
x
|
x
∈
U
, x ∉
A
}
Himpunan Bagian (Subset)
U B A
A
⊆
B
Teorema Subset
Jika
A A
maka ⊆
A
⊆ ⌀
B
⊆
A
dan
B A
⊆
C
⊆
C
16
A
⊆
B A
⊂
B
17
A
= {1, 2, 3}
B A
= {1, 2, 3, 4, 5}
C
dan
C
B
Tentukan semua kemungkinan himpunan
C
18
Himpunan yang Sama A
= {8, 2, 4, 8, 2, 2, 6}
B
= {x | x adalah empat bilangan genap positif pertama } 19
Himpunan yang ekivalen A
= {a, b, c}
B
= { sm*sh, cherrybelle, JKT48 } 20
DISJOINT
(
A
//
B ) A
= {a, b, c}
B
= { sm*sh, cherrybelle, JKT48 } ∃
x
A
=
∃
x
B
21
Cartesian Product A
= {a, b, c}
B
= { sm*sh, cherrybelle, JKT48 } 22
B
={
b |
∀
b
(
b
+
2
<
7
),
b
∈
N
} Tentukan elemen-elemen Himpunan kuasa & kardinalnya Tentukan seluruh proper subset
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
B
={
b |
∀
b
(
b
+
2
<
7
),
b
∈
N
} Tentukan elemen-elemen Himpunan kuasa & kardinalnya Tentukan seluruh proper subset
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
U A
= {1, 2, 3, 4, … , 10} = {
a
|
a
/3 ∈
P
,
a
<10} Tentukan
A
25
U 2 4 1 8 5 A 6 3 7 10 9 A
= {
x
|
x
∈
U
, x ∉
A
}
A
= {sm*sh, Super Junior, Shinee}
B
= {Cherrybelle, AKB48, SNSD}
Tentukan |
A
∪
B
|
27
U A B
| A ∪ B | = |
A
| + |
B
|
A
= {sm*sh, Hitz, Chibby, JKT48}
B
= {JKT48, Chibby, AKB48, SNSD}
Tentukan |
A
∪
B
|
29
U A B
| A ∪ B | = |
A
| + |
B
| - | A ∩ B |