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Diketahui   S={bilangan cacah kurang dari 11}  A={x ∣x∈P, x<10, P bilangan prima}  B={5, 7, 9}  Tentukan  g.  (A∪B)c∩(A∪B)c

Pertanyaan

Diketahuiundefined 
begin mathsize 14px style S equals open curly brackets bilangan space cacah space kurang space dari space 11 close curly brackets end style 
begin mathsize 14px style A equals open curly brackets x space vertical line x element of straight P comma space x less than 10 comma space straight P space bilangan space prima close curly brackets end style 
begin mathsize 14px style B equals open curly brackets 5 comma space 7 comma space 9 close curly brackets end style 

Tentukanundefined 
g.  begin mathsize 14px style open parentheses A union B close parentheses to the power of straight c intersection open parentheses A union B close parentheses to the power of straight c end style 

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

 open parentheses A union B close parentheses to the power of straight c intersection open parentheses A union B close parentheses to the power of straight c equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket 0 comma 1 comma 4 comma 6 comma 8 comma 9 comma 10 right curly bracket end cell end table.

Pembahasan

Dari soal, diperoleh :

S equals open curly brackets bilangan space cacah space kurang space dari space 11 close curly brackets equals left curly bracket 0 comma 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 right curly bracket 
A equals open curly brackets x space vertical line x element of straight P comma space x less than 10 comma space straight P space bilangan space prima close curly brackets equals left curly bracket 2 comma 3 comma 5 comma 7 right curly bracket 
begin mathsize 14px style B equals open curly brackets 5 comma space 7 comma space 9 close curly brackets end style 

Maka, diperoleh perhitungan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis A union B right parenthesis to the power of c intersection left parenthesis A union B right parenthesis to the power of c end exponent end cell equals cell left parenthesis A union B right parenthesis to the power of c end cell row cell A union B end cell equals cell left curly bracket 2 comma 3 comma 5 comma 7 right curly bracket end cell row cell left parenthesis A union B right parenthesis to the power of c end cell equals cell left curly bracket 0 comma 1 comma 4 comma 6 comma 8 comma 9 comma 10 right curly bracket end cell end table end style

Jadi, open parentheses A union B close parentheses to the power of straight c intersection open parentheses A union B close parentheses to the power of straight c equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket 0 comma 1 comma 4 comma 6 comma 8 comma 9 comma 10 right curly bracket end cell end table.

119

3.0 (1 rating)

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Diketahui   S={bilangan cacah kurang dari 11}  A={x ∣x∈P, x<10, P bilangan prima}  B={5, 7, 9}  Tentukan  h.

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