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Understanding Set Theory: Concepts, Operations, and Examples by Wibisono Sukmo Wardhono, ST, MT

Explore the foundational concepts of set theory with Wibisono Sukmo Wardhono, ST, MT. This comprehensive overview includes essential operations like union, intersection, and difference, demonstrated with practical examples. Learn how to identify empty sets, subsets, and cardinality, as well as the significance of equivalence and disjoint sets. Perfect for students and enthusiasts looking to strengthen their understanding of mathematics. Visit the lecture page for additional resources and clarifications.

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Understanding Set Theory: Concepts, Operations, and Examples by Wibisono Sukmo Wardhono, ST, MT

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  1. Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Any question ?

  2. Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id himpunan

  3. 3

  4. Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id A = {2, 3, 5, 7, 11} A = {x | x < 12; x bilangan prima}

  5. 3A 9A 5

  6. P N Z Q R C U 6

  7. Kardinalitas • n(A) atau | A| | A| = 5

  8. K = { } K = ⌀ Himpunan kosong(null set) 9

  9. irisan U A B A∩B

  10. gabungan U A B A∪B

  11. selisih U A B A-B=A∩B

  12. beda-setangkup A-B=A∩B

  13. Komplemen U A A = { x | x∈U, x ∉A}

  14. Himpunan Bagian (Subset) U B A A⊆B

  15. A⊆A ⌀ ⊆ A Jika A⊆B dan B ⊆ C maka A⊆C Teorema Subset 16

  16. A⊆B A ⊂ B 17

  17. A = {1, 2, 3} B = {1, 2, 3, 4, 5} AC dan CB Tentukan semua kemungkinan himpunan C 18

  18. Himpunan yang Sama A = {8, 2, 4, 8, 2, 2, 6} B = {x | x adalah empat bilangan genap positif pertama} 19

  19. Himpunan yang ekivalen A = {a, b, c} B = {sm*sh, cherrybelle, JKT48} 20

  20. DISJOINT ( A // B ) A = {a, b, c} B = {sm*sh, cherrybelle, JKT48} ? ∃xA = ∃xB 21

  21. Cartesian Product A = {a, b, c} B = {sm*sh, cherrybelle, JKT48} 22

  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

  23. 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

  24. U = {1, 2, 3, 4, … , 10} A = {a | a/3 ∈ P, a<10} Tentukan A 25

  25. U A 1 5 6 9 2 8 3 7 4 10 A = { x | x∈U, x ∉A}

  26. A = {sm*sh, Super Junior, Shinee} B = {Cherrybelle, AKB48, SNSD} Tentukan |A ∪ B| 27

  27. U A B |A ∪ B|= |A| + |B|

  28. A = {sm*sh, Hitz, Chibby, JKT48} B = {JKT48, Chibby, AKB48, SNSD} Tentukan |A ∪ B| 29

  29. U A B |A ∪ B|= |A| + |B| - |A∩B|

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