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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: a. ( A ∪ B ) c

Jika himpunan semesta ;   

  

 

   

Tentukan:

a.  

  1. ...space 

  2. ...undefined 

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

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

Diketahui:

begin mathsize 14px style straight S equals open curly brackets 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 close curly brackets end style, maka begin mathsize 14px style straight S equals open curly brackets 11 comma space 13 comma space 17 comma space 19 comma space 23 comma space 31 close curly brackets end style 

begin mathsize 14px style straight A equals open curly brackets 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 close curly brackets 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 open curly brackets straight x vertical line space 15 less than straight x less or equal than 25 comma space straight x element of Bilangan space Prima close curly brackets end style, maka begin mathsize 14px style straight B equals open curly brackets 17 comma space 19 comma space 23 close curly brackets 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 open curly brackets 13 comma space 17 comma space 19 close curly brackets end style  

Sehingga,

begin mathsize 14px style open parentheses straight A union straight B close parentheses equals open curly brackets 17 comma space 19 comma space 23 comma space 31 close curly brackets open parentheses straight A union straight B close parentheses to the power of straight c equals open curly brackets 11 comma space 13 close curly brackets 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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