diketahui S={1,2,3,4,5,6}, A={2,3,4,5,6}, dan B={3,4,5} a.tunjukkan bahwa n(S)=n(A)+n(B)-n(AnB)+n(AuB)'

MAPEL = MATEMATIKA
KELAS = 7
BAB     = HIMPUNAN

diketahui :
S = { 1,2,3,4,5,6 }
A = { 2,3,4,5,6 }
B = { 3,4,5 }

pembukian bahwa n(S) = n(A) + n(B) - n(A ∩ B) + n(A ∪ B)' ??

ans :

     S = { 1,2,3,4,5,6 }
n(S) = 6

     A = { 2,3,4,5,6 } 
n(A) = 5 

     B = { 3,4,5 }
n(B) = 3

      A ∩ B = { 3,4,5 }
n( A ∩ B ) = 3

  (A ∪ B)' = { 1 }
n(A ∪ B)' = 1

n(S) = n(A) + n(B) - n(A ∩ B) + n(A ∪ B)'
     6 = 5 + 3 - 3 + 1
     6 = 5 + 1
     6 = 6 ( terbukti )

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