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Diketahui A = { x ∣ x > 5 , x bilangan asli } , B = { x ∣ 3 < x < 8 , x bilangan asli } , C = { x ∣ 5 < x < 10 , x bilangan asli } . Dengan cara mendaftar anggotanya, tentukan: b. ( A ∪ C ) ∩ ( A ∪ B )

Diketahui , . Dengan cara mendaftar anggotanya, tentukan:

b.   

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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.

 left parenthesis A union C right parenthesis intersection left parenthesis A union B right parenthesis equals A equals open curly brackets 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets.

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Pembahasan

Kita daftar anggota masing-masing himpunan tersebut: Sehingga, Jadi, .

Kita daftar anggota masing-masing himpunan tersebut:

A equals open curly brackets 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets B equals open curly brackets 4 comma space 5 comma space 6 comma space 7 close curly brackets C equals open curly brackets 6 comma space 7 comma space 8 comma space 9 close curly brackets  

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis A union C right parenthesis intersection left parenthesis A union B right parenthesis end cell row blank equals cell open curly brackets 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets intersection open curly brackets 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets end cell row blank equals cell open curly brackets 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets end cell row blank equals A end table   

Jadi, left parenthesis A union C right parenthesis intersection left parenthesis A union B right parenthesis equals A equals open curly brackets 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space... close curly brackets.

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