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Carilah batasan nilai x yang memenuhi PtNM berikut. a. ∣ x + 3 ∣ < ∣ 3 x − 1 ∣ < 4

Carilah batasan nilai  yang memenuhi PtNM berikut.

a.  

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

batasan nilai yang memenuhi adalah

 batasan nilai x yang memenuhi open vertical bar x plus 3 close vertical bar less than open vertical bar 3 x minus 1 close vertical bar less than 4 adalah negative 1 half less than x less than 5 over 3 

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Pembahasan

Jadi,batasan nilai yang memenuhi adalah

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x plus 3 close vertical bar end cell less than cell open vertical bar 3 x minus 1 close vertical bar less than 4 end cell row cell open vertical bar x plus 3 close vertical bar end cell less than cell open vertical bar 3 x minus 1 close vertical bar space dan space open vertical bar 3 x minus 1 close vertical bar less than 4 end cell row cell left parenthesis left parenthesis x plus 3 right parenthesis plus left parenthesis 3 x minus 1 right parenthesis right parenthesis left parenthesis left parenthesis x plus 3 right parenthesis minus left parenthesis 3 x minus 1 right parenthesis right parenthesis end cell less than cell 0 space dan space minus 4 less than 3 x minus 1 less than 4 end cell row cell left parenthesis x plus 3 plus 3 x minus 1 right parenthesis left parenthesis x plus 3 minus 3 x plus 1 right parenthesis end cell less than cell 0 space dan space minus 3 less than 3 x less than 5 end cell row cell left parenthesis 4 x plus 2 right parenthesis left parenthesis negative 2 x plus 4 right parenthesis end cell less than cell 0 space dan space minus 3 less than 3 x less than 5 end cell row cell negative 1 half end cell less than cell x less than 2 space dan space minus 1 less than x less than 5 over 3 end cell row cell negative 1 half end cell less than cell x less than 5 over 3 end cell end table end style 

Jadi, batasan nilai x yang memenuhi open vertical bar x plus 3 close vertical bar less than open vertical bar 3 x minus 1 close vertical bar less than 4 adalah negative 1 half less than x less than 5 over 3 

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Selesaikan setiap pertidaksamaan berikut. a. 1 ​ < ​ ∣ 2 x − 1 ∣ < 3 ​

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