Matematika

Pertanyaan

Misalkan A:{1,2,3,...,10}& B:{3,5,7,9,11,13},&C:{7,8,9,10,11,12,13}.Tentukan anggota himpunan dari
A.a-b
B.b-c
C.b-c
D.c-a
E.(a-b).
F
G
H
Misalkan A:{1,2,3,...,10}& B:{3,5,7,9,11,13},&C:{7,8,9,10,11,12,13}.Tentukan anggota himpunan dari A.a-b B.b-c C.b-c D.c-a E.(a-b). F G H

1 Jawaban

  • a). A-B = {1,2,4,6,8,10}
    b). B-A = {11,13}
    c). B-C = {3,5}
    d). C-A = {11,12,13}
    e). (A-B) ∩ (A-C)
         = {1,2,4,6,8,10} ∩ {1,2,3,4,5,6}
         = {1,2,4,6}
    f). (A-C) ∪ (B-C)
         = {1,2,3,4,5,6} ∪ {3,5}
         = {1,2,3,4,5,6}
    g). (A∪B) - (B∪C)
         = {1,2,3,4,5,6,7,8,9,10,11,13} - {3,5,7,8,9,10,11,12,13}
         = {1,2,4,6}
    h). (A-B) ∪ (B-C)
         = {1,2,4,6,8,10} ∪ {3,5}
         = {1,2,3,4,5,6,8,10}