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Pertanyaan

Dengan n (A) dimaksud.kan banyaknya anggota himpunan A. Jika  n left parenthesis A space minus space B right parenthesis space equals space 3 x space plus space 60 comma times space n left parenthesis A space intersection space B right parenthesis space equals space x squared comma space n left parenthesis B space minus space A right parenthesis space equals space 5 x comma space d a n space n left parenthesis A space union space B right parenthesis space equals space 300, ·maka
n(A) = .....

  1. 100

  2. 250

  3. 150

  4. 275

  5. 240

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

n left parenthesis A space minus space B right parenthesis space equals space 3 x space plus space 60  n left parenthesis A intersection space B right parenthesis space equals space x squared  n left parenthesis B space minus space A right parenthesis space equals space 5 x  n left parenthesis A union space B right parenthesis space equals space left parenthesis 3 x space plus space 60 right parenthesis space plus space x squared space plus space 5 x  300 space equals x squared space plus space 8 x space plus space 60  0 equals x 2 plus 9 x times 240  0 equals x squared plus 8 x times 240  0 space equals space left parenthesis x space plus space 20 right parenthesis left parenthesis x space minus space 12 right parenthesis  x space equals space minus 20 space left parenthesis t i d a k space m u n g k i n right parenthesis  x equals 12  n left parenthesis A space minus space B right parenthesis space equals space 3 x space plus space 60 space equals space 3 left parenthesis 12 right parenthesis space plus space 60 space equals space 96  n left parenthesis A intersection space B right parenthesis equals space x squared space equals space 122 space equals 144  n left parenthesis B space minus space A right parenthesis space equals space 5 x space equals space 5 left parenthesis 12 right parenthesis space equals space 60  n left parenthesis A right parenthesis equals space n left parenthesis A space minus space B right parenthesis space plus space n left parenthesis A space intersection space B right parenthesis  equals space 96 space plus space 144  equals 240

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Diketahui semesta suatu himpunan adalah S={1,2,3,4,5,6,7,8,9,10}. Jika P={2,3,5,7,8} dan Q={1,3,5,7,9}, hasil dari (P−Q) adalah ....

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