際際滷

際際滷Share a Scribd company logo
 Alif Aulia Rahman / 201731189
 Aulya Sri Utami Ilham /201731190
 Hesti Meila /201731191
 Fanuel Alfrinus Kalalo /201731192
<
0
Kumpulan obyek-obyek
yang berbeda [LIU 1986]
Himpunan
Himpunan
START
Kelompok 8
Based on : Logika Matematika  Jong Jek Siang
<
Notasi Himpunan
A
B
C
Nama Hari
Nama Bulan
Jurusan STT-PLN
Anggota Himpunan
Obyek yang terdapat dalam himpunan, yang dinotasikan dengan
huruf kecilhuruf kecil dan terletak di dalam kurung kurawalkurung kurawal.
0
VS
1 2 <
0
VS
1 2 <
1
Menuliskan tiap-tiap anggota
himpunan di antara dua kurung
kurawal
CONTOH
A = {alif, aulya, meila,nuel}
Nama Bulan= {Januari,
Februari,...,Desember}
0
VS
1 2 <
2
Menuliskan sifat-sifat yang ada pada
semua anggota himpunan di antara 2
kurung kurawal
CONTOH
A = {x|x anggota kelompok 8
LOGMAT}
B= {x|x nama bulan selama setahun}
<
0
Diagram yang digunakan
untuk menggambarkan
suatu impunan beserta
anggota-anggotanya.
Himpunan dinyatakan
sebagai suatu lingkaran
yang diberi nama
himpunan tersebut
Diagram Venn
<
0
Diagram Venn
A B S
<
0
Himpunan
Semesta
Himpunan
Kosong
Himpunan
Tunggal
<
0
Himpunan
Semesta
Himpunan
Kosong
Himpunan
Tunggal
Himpunan Semua Obyek yangHimpunan Semua Obyek yang
dibicarakandibicarakan
Notasi : S atau U
CONTOH
U= Mahasiswa kelas E
U={ Rodando,Sheilla,...,Syibran}
Himpunan
Semesta
<
0
Himpunan
Semesta
Himpunan
Kosong
Himpunan
Tunggal
Himpunan yang tidakHimpunan yang tidak
mempunyai anggotamempunyai anggota
Notasi : {} atau 
Himpunan
Kosong
<
0
Himpunan
Semesta
Himpunan
Kosong
Himpunan
Tunggal
Himpunan yang hanyaHimpunan yang hanya
memiliki satu anggotamemiliki satu anggota
himpunanhimpunan
CONTOH
A={bulan}
A{x|x satelit alami bumi}
Himpunan
Tunggal
0
VSHimpunan
Bagian
Himpunan
Kuasa
<
0
VSHimpunan
Bagian
Himpunan
Kuasa
<Himpunan
Bagian VS
Jika A dan B adalah Himpunan-himpunan
maka A disebut himpunan bagian (subset)
Dari B bila dan hanya bila setiap anggota A
juga merupakan anggota B
A = {Alif, Aulya}
B = { Alif, Aulya, Meila, Nuel}
0
VSHimpunan
Bagian
Himpunan
Kuasa
<
Himpunan Kuasa A (Notasi : P(A) atau
2A adalah himpunan yang anggota-
anggotanya adalah semua himpunan
bagian A.
Untuk menentukan jumlah anggota
himpunan kuasa maka penentuannya
dengan 2n
A = { Alif, Aulya, Meila, Nuel}
Himpunan
Kuasa
<
0
-
OPERASI HIMPUNAN
<
0
-
OPERASI HIMPUNAN
Gabungan (Union)
Dua buah himpunan yang merupakan
himpunan semua elemen anggota A atau
anggota B
SA B
<
0
-
OPERASI HIMPUNAN
SA B
<
0
-
OPERASI HIMPUNAN
S
A
<
0
-
OPERASI HIMPUNAN
-
Selisih
Selisih himpunan B dari himpunan A (ditulis A 
B), adalah himpunan semua elemen S yang
merupakan Anggota A, tapi bukan anggota B
SA B
<
0
-
OPERASI HIMPUNAN
SA B
<
0
Hukum
Himpunan

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Himpunan