Matematika

Pertanyaan

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1 Jawaban

  • 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 }