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Carilah himpunan penyelesaian dari setiap PtNM berikut. c. ∣ 9 − 2 x ∣ ​ ≥ ​ ∣ 4 x ∣ ​

Carilah himpunan penyelesaian dari setiap PtNM berikut.

c.   

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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himpunan penyelesaian dari pertidaksamaan adalah

himpunan penyelesaian dari pertidaksamaan table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 9 minus 2 x close vertical bar end cell greater or equal than cell open vertical bar 4 x close vertical bar end cell end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets right enclose x x less or equal than negative 9 over 2 space atau space x greater or equal than 3 over 2 close curly brackets end cell end table 

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Pembahasan

Jadi, himpunan penyelesaian dari pertidaksamaan adalah

 table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 9 minus 2 x close vertical bar end cell greater or equal than cell open vertical bar 4 x close vertical bar end cell row cell left parenthesis 9 minus 2 x plus 4 x right parenthesis left parenthesis 9 minus 2 x minus 4 x right parenthesis end cell greater or equal than 0 row cell left parenthesis 2 x plus 9 right parenthesis left parenthesis negative 6 x plus 9 right parenthesis end cell greater or equal than 0 end table

table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank greater or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 6 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank greater or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 over 2 end cell end table 

Jadi, himpunan penyelesaian dari pertidaksamaan table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 9 minus 2 x close vertical bar end cell greater or equal than cell open vertical bar 4 x close vertical bar end cell end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets right enclose x x less or equal than negative 9 over 2 space atau space x greater or equal than 3 over 2 close curly brackets end cell end table 

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Tentukan interval nilai x yang memenuhi pertidaksamaan berikut ini : a. ∣ 4 x − 1 ∣ ​ > ​ ∣3 x − 6∣ ​

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