Dasar - Dasar Matematika (29)

Dasar - Dasar Matematika (29)

Oleh : Suryadi

Director of Education Apenso Indonesia

Hukum Distribusi ( Dalam Himpunan )

Hukum distribusi :  ( A U B ) ∩ C = ( A ∩ C ) U ( B ∩ C )

Contoh :
A = { 2, 3, 4, 5, 6, 7 }
B = { 2, 3, 5, 6, 7 }
C = { 5, 6, 7, 8, 9 }
Maka,
( A U B ) ∩ C = { 2, 3, 4, 5, 6, 7 } ∩ { 5, 6, 7, 8, 9 }
                       = { 5, 6, 7 }
 (A ∩ C ) U ( B ∩ C ) = { 5, 6, 7 } U { 5, 6, 7 }
                                   = { 5, 6, 7 }

Jadi, ( A U B ) ∩ C = ( A ∩ C ) U ( B ∩ C )