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- Gabungan dan Diagram Venn - Sifat Operasi Gabungan<br />

Sifat identitas : A ⋃ ∅ = A<br />

Explore<br />

Sifat idempotent : A ⋃ A = A<br />

Sifat komutatif : A ⋃ B = B ⋃ A<br />

Sifat asosiatif : (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C)<br />

Sifat distributif :<br />

A ⋃ (B ∩ C) = (A ⋃ B) ∩ (B ⋃ C)<br />

A ∩ (B ⋃ C) = (A ∩ B) ⋃ (B ∩ C)<br />

Jika A ⊆ B, maka A ⋃ B = B<br />

Interaksi<br />

Simulasi<br />

Diskusikan bersama temanmu untuk menemukan jawaban dari beberapa soal<br />

berikut ini!<br />

1. Diketahui :<br />

O = {2, 4, 6, 8, 10, 12, 14,16, 18, 20}<br />

K = { 9, 12, 13, 14, 16}<br />

G = {4, 8, 12, 16, 20, 24}<br />

Tentukan :<br />

a. K ⋃ K<br />

b. G ⋃ ∅<br />

c. O ⋃ K<br />

d. K ⋃ 0<br />

e. (O ⋃ G) ⋃ K<br />

f. 0 ⋃ (G ⋃ K)<br />

g. K ⋃ (O ∩ G)<br />

h. (K ⋃ 0) ∩ (0 ⋃ G)<br />

i. (G ∩ K) ⋃ (K ∩ 0)<br />

j. G ∩ (K ⋃ 0)<br />

2. Gambarkan dengan diagram Venn A ⋃ B jika A ⊆ B. tuliskan hasil A ⋃ B berdasarkan<br />

diagram.

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