Page 12 - Modul Himpunan Fatrisiani
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9. SIFAT-SIFAT OPERASI HIMPUNAN
Berbagai sifat operasi himpunan yang perlu kalian ketahui sebagai berikut.
1. Sifat komutatif
a b
Dari diagram a tersebut diperoleh:
A = {1, 3, 5} Dari diagram b tersebut diperoleh:
B = {5, 7, 9, 11} A = {p, q, r}
A ⋃ B = {1, 3, 5, 7, 9, 11} B = {s}
B ⋃ A = {1, 3, 5, 7, 9, 11} A ⋃ B = {p, q, r}
A ⋂ B = {5} B ⋃ A = {p, q, r, s}
B ⋂ A = {5} A ⋂ B = ∅
Ternyata A ⋃ B = B ⋃ A B ⋂ A = ∅
A ⋂ B = B ⋂ A Ternyata A ⋃ B = B ⋃ A
A ⋂ B = B ⋂ A
2. Sifat asosiatif
Perhatikan Kembali diagram Venn berikut.
a b
P = {a, b, c, d, e} P = {1, 2, 3, 4}
Q = {d, e, f, g, h, i} Q = {4, 5, 6, 7, 8, 9, 10}
R = {c, e, I, j, k, l, m} R = {7, 8, 9, 10, 11, 12}
P ⋃ Q = {a, b, c, d, e, f, g, h, i} P ⋃ Q = {1, 2, 3, 4, 5, 6, 7, 8, 9,
10}
Q ⋃ R = {c, d, e, f, g, h, i, j, k, l, m} Q ⋃ R = {4, 5, 6, 7, 8, 9, 10, 11,
12}
HIMPUNAN 11 HIMPUNAN
