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Jika himpunan semesta ; S = { x ∣ 10 ≤ x ≤ 35 , x ∈ Bilangan Prima } A = { x ∣ 30 ≤ x ≤ 35 , x ∈ Bilangan cacah } B = { x ∣ 15 < x ≤ 25 , x ∈ Bilangan Prima } C = { x ∣13 ≤ x ≤ 20 , x ∈ Bilangan Bulat } Tentukan: c. ( B ∩ C ) ∩ A c

Jika himpunan semesta ;    

 

 

 

Tentukan:

c.  

  1. ...space 

  2. ...undefined 

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S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

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Pembahasan

Diketahui: , maka , maka , maka , maka Sehingga,

Diketahui:

begin mathsize 14px style straight S equals left curly bracket straight x vertical line space 10 less or equal than straight x less or equal than 35 comma space straight x element of Bilangan space Prima right curly bracket end style, maka begin mathsize 14px style straight S equals left curly bracket 11 comma space 13 comma space 17 comma space 19 comma space 23 comma space 31 right curly bracket end style 

begin mathsize 14px style straight A equals left curly bracket straight x vertical line space 30 less or equal than straight x less or equal than 35 comma space straight x element of Bilangan space cacah right curly bracket end style, maka begin mathsize 14px style straight A equals open curly brackets 31 close curly brackets end style 

begin mathsize 14px style straight B equals left curly bracket straight x vertical line space 15 less than straight x less or equal than 25 comma space straight x element of Bilangan space Prima right curly bracket end style, maka begin mathsize 14px style straight B equals left curly bracket 17 comma space 19 comma space 23 right curly bracket end style  

begin mathsize 14px style straight C equals left curly bracket straight x vertical line 13 less or equal than straight x less or equal than 20 comma space straight x element of Bilangan space Bulat right curly bracket end style, maka begin mathsize 14px style straight C equals left curly bracket 13 comma space 17 comma space 19 right curly bracket end style  

Sehingga,

begin mathsize 14px style table attributes columnalign left center left end attributes row cell open parentheses straight B intersection straight C close parentheses end cell equals cell open curly brackets 17 comma space 19 close curly brackets end cell row cell straight A to the power of straight c end cell equals cell open curly brackets 11 comma space 13 comma space 17 comma space 19 close curly brackets end cell row cell open parentheses straight B intersection straight C close parentheses intersection straight A to the power of straight c end cell equals cell open curly brackets 17 comma space 19 close curly brackets end cell end table end style 

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Jika himpunan semesta ; S = { x ∣ 10 ≤ x ≤ 35 , x ∈ Bilangan Prima } A = { x ∣ 30 ≤ x ≤ 35 , x ∈ Bilangan cacah } B = { x ∣ 15 < x ≤ 25 , x ∈ Bilangan Prima } C = { x ∣13 ≤ x ≤ 20 , x ∈ Bi...

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