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JAWABAN KUIS II LOGIKA MATEMATIKA (Operasi Himpunan)

JAWABAN KUIS II LOGIKA MATEMATIKA (Operasi Himpunan). (8 September 2004). Soal No. 1:. Misalkan diketahui himpunan-himpunan U, A dan B : U={a,b,c,d,e} A={a,b,d} B={b,d,e}. Tentukan : A  B 2. B  A 3. B’ 4. B - A 5. A’  B

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JAWABAN KUIS II LOGIKA MATEMATIKA (Operasi Himpunan)

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  1. JAWABAN KUIS IILOGIKA MATEMATIKA(Operasi Himpunan) (8 September 2004)

  2. Soal No. 1: Misalkan diketahui himpunan-himpunan U, A dan B : U={a,b,c,d,e} A={a,b,d} B={b,d,e} • Tentukan : • AB 2. BA 3. B’ 4. B-A 5. A’ B • AB’ 7. (A-C)’ 8. A’ B’ 9.(B’-A’)’ 10. (A A’)’ • 11. (A B)’

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

  4. Soal No. 2: U B A C Diketahui diagram Venn : • Lakukan arsir pada himpunan-himpunan berikut : • A  (BC) 2. (A B) (A ) • 3. A  (B C 4. (A B)  A  C

  5. Jawab : B A C • A  (BC) diarsir kotak

  6. B A C 2. (A B) (A C) diarsir kotak = A  (BC)

  7. B A C 3. A  (B C) diarsir kotak

  8. B A C 4. (A B)  A  C diarsir kotak = A  (B C)

  9. Soal No.3: Buktikan persamaan-persamaan berikut : • (A  B)  (A  B’ )=A 2. (A B)’=A’  B’ • 3. (A-B)  B= Jawab : 1. A  B={x|xA atau x B} (A  B’)=={x|xA atau x B} (A  B)  (A  B’) ={x|xA atau x B dan xA atau x B}=={x|xA atau x B dan xA atau x B}= ={x|xA}=A

  10. 2. (A B)= ={x|xA atau x B atau x A dan B } (A B)’= ={x|x  A dan x  B}=A’-B’ 3. (A-B)  B={x|x A dan x  B dan x B} = 

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