1 / 17

CONTOH-CONTOH SOAL

CONTOH-CONTOH SOAL. BAB 2 OPERASI HIMPUNAN. Contoh 2.1:. Misalkan diketahui himpunan-himpunan U, A,B,C : U={a,b,c,d,e,f,g} A={a,b,c,d,e} B={a,c,e,g} C={b,e,f,g}. Tentukan : A  C 2. B  A 3. C - B 4. B ’ 5.A ’ - B

guglielmo-blaney
Download Presentation

CONTOH-CONTOH SOAL

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CONTOH-CONTOH SOAL BAB 2 OPERASI HIMPUNAN

  2. Contoh 2.1: Misalkan diketahui himpunan-himpunan U, A,B,C : U={a,b,c,d,e,f,g} A={a,b,c,d,e} B={a,c,e,g} C={b,e,f,g} • Tentukan : • AC 2. BA 3. C-B 4. B’ 5.A’-B • B’ C 7. (A-C)’8. C’ A 9.(A-B’)’ 10. (A A’)’

  3. Jawab : U={a,b,c,d,e,f,g} A={a,b,c,d,e} B={a,c,e,g} C={b,e,f,g} • AC ={a,b,c,d,e,f,g}=U • BA ={a,c,e} • C-B={b,f} • B’ ={b,d,f} • A’-B ={f}

  4. U={a,b,c,d,e,f,g} A={a,b,c,d,e} B={a,c,e,g} C={b,e,f,g} • B’ C ={b,d,e,f,g} • (A-C)’ = {b,e,f,g} • C’ A = {a,c,d} • (A-B’)’ = {b,d,f,g} • (A A’)’ = U

  5. Contoh 2.2: Diketahui diagram Venn : U V W • Lakukan arsir pada himpunan-himpunan berikut : • V  W 2. W’ 3. W-V 4. V’ W 6.A’-W’

  6. Jawab: 1. V  W (arsir kotak) U W V V

  7. Jawab: 2. W’ (arsir miring) U W W V V

  8. Jawab: 3. W-V (arsir miring) U W V W V

  9. Jawab: 4. V’W (arsir miring) U . W . V . W W . V

  10. Jawab: 5. VW’ (arsir miring) U V W W V

  11. Jawab: 6. V‘-W’ (arsir miring) U W W V V

  12. Contoh 2.3: Gambarkan diagram Venn untuk tiga himpunan A, B dan C yang tidak kosong () bila diketahui : • AB, C B, AC =  • A  B, CB, AC  • A  C, A  C, BC =  • A (B  C), B C, C  B,A C

  13. Jawab: • AB, C B, AC =  B C A

  14. Jawab: • A  B, CB, AC  C A B

  15. Jawab: • A  C, A  C, BC =  C B A

  16. Jawab: • A (B  C), B C, C  B,A C C A B

  17. Contoh 2.4 : Buktikan persamaan-persamaan berikut : • B – A’ =BA 2. A’- B’=B - A Jawab : • B – A’ ={x|xB, xA’}={x |xB,x  A}= BA 2. A’- B’={x | xA’, xB’}={x|xA,x  B}=B-A

More Related