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Pertanyaan

Diketahui begin mathsize 14px style A equals left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 right curly bracket end style, begin mathsize 14px style B equals left curly bracket 3 comma space 4 comma space 5 comma space 6 right curly bracket end style, dan begin mathsize 14px style C equals left curly bracket 4 comma space 5 comma space 6 comma space 7 comma space 8 right curly bracket end style. Tentukan:

f. begin mathsize 14px style B union open parentheses A intersection C close parentheses end style 

A. Acfreelance

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Mahasiswa/Alumni Universitas Indraprasta PGRI

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style B union table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A intersection C close parentheses 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 open curly brackets 3 comma space 4 comma space 5 comma space 6 close curly brackets end cell end table end style.

Pembahasan

Gabungan dua himpunan begin mathsize 14px style A end style dan size 14px B (begin mathsize 14px style B union A end style) merupakan suatu himpunan yang anggota ialah anggota himpunan begin mathsize 14px style A end style atau anggota himpunan size 14px B atau anggota keduanya.

Irisan dua himpunan begin mathsize 14px style A end style dan size 14px B (begin mathsize 14px style A intersection B end style) adalah himpunan dari semua anggota himpunan begin mathsize 14px style A end style dan size 14px B yang sama. 

Sehingga,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell B union A end cell equals cell left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 right curly bracket end cell row cell B union C end cell equals cell left curly bracket 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 right curly bracket end cell row cell left parenthesis B union A right parenthesis intersection left parenthesis B union C right parenthesis end cell equals cell left curly bracket 3 comma space 4 comma space 5 comma space 6 right curly bracket end cell end table end style  

Karena begin mathsize 14px style B union left parenthesis A intersection C right parenthesis equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses B union A close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank intersection end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses B union C close parentheses end cell end table end style, maka begin mathsize 14px style B union table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A intersection C close parentheses 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 open curly brackets 3 comma space 4 comma space 5 comma space 6 close curly brackets end cell end table end style.

Jadi, begin mathsize 14px style B union table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A intersection C close parentheses 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 open curly brackets 3 comma space 4 comma space 5 comma space 6 close curly brackets end cell end table end style.

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