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Carilah batasan nilai x yang memenuhi PtNM berikut. b. ∣ x − 2 ∣ . ∣ x − 1 ∣ < ∣ 4 x − 8 ∣

Carilah batasan nilai  yang memenuhi PtNM berikut.

b.  

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

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batasan nilai yang memenuhi pertidaksamaan adalah

batasan nilai x yang memenuhi pertidaksamaan open vertical bar x minus 2 close vertical bar. open vertical bar x minus 1 close vertical bar less than open vertical bar 4 x minus 8 close vertical bar adalah 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 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 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 2 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table 

Pembahasan

Jadi, batasan nilai yang memenuhi pertidaksamaan adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x minus 2 close vertical bar. open vertical bar x minus 1 close vertical bar end cell less than cell open vertical bar 4 x minus 8 close vertical bar end cell row cell open vertical bar left parenthesis x minus 2 right parenthesis left parenthesis x minus 1 right parenthesis close vertical bar end cell less than cell open vertical bar 4 x minus 8 close vertical bar end cell row cell open vertical bar x squared minus 3 x plus 2 close vertical bar end cell less than cell open vertical bar 4 x minus 8 close vertical bar end cell row cell left parenthesis x squared minus 3 x plus 2 plus left parenthesis 4 x minus 8 right parenthesis right parenthesis left parenthesis x squared minus 3 x plus 2 minus left parenthesis 4 x minus 8 right parenthesis right parenthesis end cell less than 0 row cell left parenthesis x squared minus 3 x plus 2 plus 4 x minus 8 right parenthesis left parenthesis x squared minus 3 x plus 2 minus 4 x plus 8 right parenthesis end cell less than 0 row cell left parenthesis x squared plus x minus 6 right parenthesis left parenthesis x squared minus 7 x plus 10 right parenthesis end cell less than 0 row cell left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis left parenthesis x minus 5 right parenthesis end cell less than 0 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 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 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 2 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table

Jadi, batasan nilai x yang memenuhi pertidaksamaan open vertical bar x minus 2 close vertical bar. open vertical bar x minus 1 close vertical bar less than open vertical bar 4 x minus 8 close vertical bar adalah 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 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 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 2 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less than blank 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 than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table 

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