Question

Bantu jawab ya.....

poinnya aku tambahin

Answer 1

Verified answer

Mapel : Matematika
Bab : Himpunan

S = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
A = { 1, 2, 3, 4, 5 }
B = { 4, 5, 6, 7, 8 }
C = { 3, 5, 7, 9 }

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

B) ( A ∩ B ) ∩ C^c
   = ( { 1, 2, 3, 4, 5 } ∩ { 4, 5, 6, 7, 8 } ) ∩ { 1, 2, 4, 6, 8, 10 }
   = { 4, 5 } ∩ { 1, 2, 4, 6, 8, 10 }
   = { 4 }

C) ( B - C ) ∩ A
   = ( { 4, 5, 6, 7, 8 } - { 3, 5, 7, 9 } ) ∩ { 1, 2, 3, 4, 5 }
   = { 4, 6, 8 } ∩ { 1, 2, 3, 4, 5 }
   = { 4 }