Matematika

Pertanyaan

Diberikan 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}
Tentukan :
a. A(komplemen) u (B n C)
b. (A n B) n C(komplemen))
b.(B - C) n A

2 Jawaban

  • a. A(komplemen) u  (B n C)
     = {6,7,8,9,10}     u  {3,4,5,6,7,8,9}
     = {3,4,5,6,7,8,9,10}
     
    b. {A n B} n C (komplemen}
     = {4,5}     n {1,2,4,6,8,10}
     = {4}

    c. {B - C} n A
     = {4,6,8} n {1,2,3,4,5}
     = {4}
  • a.A u (B n C)={6,7,8,9,10} u {5,7}
                       ={7}
    b(A n B) n C={4,5} n {1,2,4,6,8,10}
                      ={4}
    c.(B-C) n A  ={4,6,8} n {1,2,3,4,5}
                      ={4}

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