Diketahui himpunan A={1, 2, 3, 4}; B={bilangan prima kurang dari 7}; dan C={x∣2≤x≤7,x Bilangan Asli}. Anggota dari (A∪B)∩C adalah ...

Pertanyaan

Diketahui himpunan begin mathsize 14px style straight A equals left curly bracket 1 comma space 2 comma space 3 comma space 4 right curly bracket end style; begin mathsize 14px style straight B equals left curly bracket bilangan space prima space kurang space dari space 7 right curly bracket end style; dan begin mathsize 14px style straight C equals left curly bracket x vertical line 2 less or equal than x less or equal than 7 comma x space Bilangan space Asli right curly bracket end style. Anggota dari begin mathsize 14px style left parenthesis straight A union straight B right parenthesis intersection straight C end style adalah ...

  1. ...space 

  2. ...space 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight A union straight B right parenthesis intersection straight C end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket 2 comma space 3 comma space 4 comma space 5 right curly bracket end cell end table end style.

Pembahasan

Diketahui:

begin mathsize 14px style straight A equals left curly bracket 1 comma space 2 comma space 3 comma space 4 right curly bracket end style
begin mathsize 14px style straight B equals left curly bracket 2 comma space 3 comma space 5 right curly bracket end style 
begin mathsize 14px style straight C equals left curly bracket 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 right curly bracket end style 

Mencari begin mathsize 14px style straight A union straight B end style:

begin mathsize 14px style straight A union straight B equals left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 right curly bracket end style 

Mencari begin mathsize 14px style left parenthesis straight A union straight B right parenthesis intersection straight C end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight A union straight B right parenthesis intersection straight C end cell equals cell left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 right curly bracket intersection left curly bracket 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 right curly bracket end cell row blank equals cell left curly bracket 2 comma space 3 comma space 4 comma space 5 right curly bracket end cell end table end style 

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight A union straight B right parenthesis intersection straight C end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket 2 comma space 3 comma space 4 comma space 5 right curly bracket end cell end table end style.

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Pertanyaan serupa

Jika A={2, 3, 1, 4}, B={2, 2} serta C={1, 3, 4, 5}, maka nilai dari (A∪B)∩C adalah ….

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