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Any question ?. himpunan. 3. A = {2, 3, 5, 7, 11}. A = { x | x < 12; x bilangan prima}. 3 A 9 A. 5. P N Z Q R C U. 6. Kardinalitas. n ( A ) atau | A | | A | = 5. K = { } K = ⌀. Himpunan kosong ( null set ). 9. irisan. U. A. B. A ∩ B. gabungan. U.
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Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Any question ?
Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id himpunan
Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id A = {2, 3, 5, 7, 11} A = {x | x < 12; x bilangan prima}
3A 9A 5
P N Z Q R C U 6
Kardinalitas • n(A) atau | A| | A| = 5
K = { } K = ⌀ Himpunan kosong(null set) 9
irisan U A B A∩B
gabungan U A B A∪B
selisih U A 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
A⊆A ⌀ ⊆ A Jika A⊆B dan B ⊆ C maka A⊆C Teorema Subset 16
A⊆B A ⊂ B 17
A = {1, 2, 3} B = {1, 2, 3, 4, 5} AC dan CB 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} ? ∃xA = ∃xB 21
Cartesian Product A = {a, b, c} B = {sm*sh, cherrybelle, JKT48} 22
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 B={b|∀b(b+2<7),b∈N} Tentukan elemen-elemen Himpunan kuasa & kardinalnya Tentukan seluruh proper subset
U = {1, 2, 3, 4, … , 10} A = {a | a/3 ∈ P, a<10} Tentukan A 25
U A 1 5 6 9 2 8 3 7 4 10 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|