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Pertanyaan

Diketahui begin mathsize 14px style S equals open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 close curly brackets end style begin mathsize 14px style A equals open curly brackets 1 comma space 2 comma space 4 comma space 5 close curly brackets end style begin mathsize 14px style B equals open curly brackets 4 comma space 5 comma space 6 close curly brackets end style 

Dengan cara mendaftar anggotanya, tentukan:

b.   begin mathsize 14px style open parentheses A union B close parentheses to the power of c end style

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A union B close parentheses end cell end table to the power of straight c equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets 3 comma space 7 comma space 8 close curly brackets end cell end table.

Pembahasan

Gabungan himpunan A dan B adalah himpunan yang anggotanya semua anggota S yang merupakan anggota himpunan A atau anggota himpunan B, dilambangkan A union B

table attributes columnalign right center left columnspacing 0px end attributes row cell A union B end cell equals cell left curly bracket 1 comma space 2 comma space 4 comma space 5 right curly bracket space union space left curly bracket 4 comma space 5 comma space 6 right curly bracket end cell row blank equals cell left curly bracket 1 comma space 2 comma space 4 comma space 5 comma space 6 right curly bracket end cell end table.

Komplemen himpunan A union B adalah suatu himpunan semua anggota himpunan S yang bukan anggota himpunan A union B, dinotasikan dengan left parenthesis A union B right parenthesis to the power of straight c.

table attributes columnalign right center left columnspacing 0px end attributes row S equals cell left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 right curly bracket end cell row cell A union B end cell equals cell left curly bracket 1 comma space 2 comma space 4 comma space 5 comma space 6 right curly bracket end cell end table

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses A union B close parentheses to the power of straight c end cell equals cell open curly brackets 3 comma space 7 comma space 8 close curly brackets end cell end table  

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A union B close parentheses end cell end table to the power of straight c equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets 3 comma space 7 comma space 8 close curly brackets end cell end table.

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