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: b. (C−A)∪B

Pertanyaan

Jika himpunan semesta ; 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  

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  

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 

undefined   

Tentukan:

b. begin mathsize 14px style open parentheses straight C minus straight A close parentheses union straight B end style  

  1. ...space 

  2. ...undefined 

S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

Jawaban terverifikasi

Pembahasan

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 table attributes columnalign left center left rowalign center baseline end attributes row cell open parentheses straight C minus straight A close parentheses end cell equals cell open curly brackets 13 comma space 17 comma space 19 close curly brackets end cell row cell open parentheses straight C minus straight A close parentheses union straight B end cell equals cell open curly brackets 13 comma space 17 comma space 19 comma space 23 close curly brackets end cell end table end style  

 

 

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Pertanyaan serupa

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

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Jawaban terverifikasi

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