Dasar - Dasar Matematika (28)

Dasar - Dasar Matematika (28)

Oleh : Suryadi

Director of Education Apenso Indonesia

Hukum Distribusi ( Dalam Himpunan )
Hukum distribusi A ∩ ( B U C ) = ( A ∩ B ) U ( A ∩ C )

Contoh :
A = { 3, 4, 5, 6, 7, 8 }
B = { 3, 5, 6, 7, 8 }
C = { 6, 7, 8, 9, 10 }
Maka,  A ∩ ( B U C ) = { 3, 4, 5, 6, 7, 8 } ∩ ( { 3, 5, 6, 7, 8 } U { 6, 7, 8, 9, 10 } )
                                   = { 3, 4, 5, 6, 7, 8 } ∩ { 3, 5, 6, 7, 8, 9, 10 }
                                   = { 3, 5, 6, 7, 8 }

( A ∩ B ) U ( A ∩ C ) = ( { 3, 4, 5, 6, 7, 8 } ∩ { 3, 5, 6, 7,8 } ) U ( { 3, 4, 5, 6, 7, 8 } ∩ { 6, 7, 8, 9, 10 } )
                                   = { 3, 5, 6, 7, 8 } U { 6, 7, 8 }
                                   = { 3, 5, 6, 7, 8 }

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