Roboguru

Diketahui  dengan ,  dan . Tentukan: b.

Pertanyaan

Diketahui A subset of R comma space B subset of R comma space C subset of R dengan A equals open curly brackets x vertical line x squared plus 5 x equals 0 close curly bracketsB equals open curly brackets x vertical line x cubed minus 9 x equals 0 close curly brackets dan C equals open curly brackets x vertical line x greater than 0 close curly brackets.

Tentukan:

b. B intersection C 

Terakhir diupdate 11 Juli 2021

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Pertanyaan yang serupa

Jika , , dan .  Tentukan hasil dari .

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x minus 1 close parentheses squared end cell equals 0 row x equals 1 row E equals cell left curly bracket 1 right curly bracket end cell row blank blank blank row cell x squared end cell equals 1 row x equals 1 row F equals cell left curly bracket 1 right curly bracket end cell row blank blank blank row cell x squared minus 3 x plus 2 end cell equals 0 row cell left parenthesis x minus 2 right parenthesis left parenthesis x minus 1 right parenthesis end cell equals 0 row cell x subscript 1 end cell equals cell 2 space space x subscript 2 equals 1 end cell row G equals cell left curly bracket 1 comma space 2 right curly bracket end cell row blank blank blank row blank blank blank row blank blank blank end table end style

Asumsikan begin mathsize 14px style S equals left curly bracket 1 comma space 2 right curly bracket end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F to the power of C end cell equals cell left curly bracket 2 right curly bracket end cell row cell E intersection F to the power of C end cell equals cell left curly bracket 1 comma space 2 right curly bracket end cell row cell left parenthesis E intersection F to the power of C right parenthesis union G end cell equals cell left curly bracket 1 comma space 2 right curly bracket end cell end table end style

1

Roboguru

Diketahui himpunan-himpunan berikut: Dari himpunan di atas, tentukan himpunan berikut dengan mendaftar anggotanya!

Pembahasan Soal:

Pertama-tama, nyatakan himpunan A. space B. space C dengan mendaftar anggota-anggotanya sebagai berikut.

A equals open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets B equals open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets C equals open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets

Lalu selesaikan A intersection B intersection C sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell A intersection B intersection C end cell equals cell open parentheses A intersection B close parentheses intersection C end cell row blank equals cell open parentheses open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets intersection open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets close parentheses intersection open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 2 comma space 6 comma space 10 close curly brackets intersection open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 2 close curly brackets end cell end table

Dengan demikian, hasil dari A intersection B intersection C adalah open curly brackets 2 close curly brackets.

1

Roboguru

Diketahui himpunan-himpunan berikut: Dari himpunan di atas, tentukan himpunan berikut dengan mendaftar anggotanya!

Pembahasan Soal:

Pertama-tama, nyatakan himpunan A. space B. space C dengan mendaftar anggota-anggotanya sebagai berikut.

A equals open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets B equals open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets C equals open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets

Lalu selesaikan A intersection B union C sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell A intersection B union C end cell equals cell open parentheses A intersection B close parentheses union C end cell row blank equals cell open parentheses open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets intersection open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets close parentheses union open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 2 comma space 6 comma space 10 close curly brackets union open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 2 comma space 3 comma space 5 comma space 6 comma space 7 comma space 10 comma space 11 comma space 13 close curly brackets end cell end table

Dengan demikian, hasil dari A intersection B union C adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets 2 comma space 3 comma space 5 comma space 6 comma space 7 comma space 10 comma space 11 comma space 13 close curly brackets end cell end table.

0

Roboguru

Diketahui himpunan-himpunan berikut: Dari himpunan di atas, tentukan himpunan berikut dengan mendaftar anggotanya!

Pembahasan Soal:

Pertama-tama, nyatakan himpunan A. space B. space C dengan mendaftar anggota-anggotanya sebagai berikut.

A equals open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets B equals open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets C equals open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets

Lalu selesaikan A minus open parentheses B intersection C close parentheses sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell A minus open parentheses B intersection C close parentheses end cell equals cell open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets minus open parentheses open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets intersection open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets close parentheses end cell row blank equals cell open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets minus open curly brackets 2 close curly brackets end cell row blank equals cell open curly brackets 1 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets end cell end table

Dengan demikian, hasil dari A minus open parentheses B intersection C close parentheses adalah open curly brackets 1 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets.

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Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row 40 equals cell left parenthesis 23 minus 8 right parenthesis plus left parenthesis 11 minus 8 right parenthesis plus 8 plus x end cell row 40 equals cell 26 plus x end cell row x equals cell 40 minus 26 end cell row x equals 14 end table end style

2

Roboguru

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