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Jika x memenuhi pertidaksamaan (0,01)x<0,001 , maka nilai x yang memenuhi adalah ....

Pertanyaan

Jika x memenuhi pertidaksamaan begin mathsize 14px style left parenthesis 0 comma 01 right parenthesis to the power of straight x less than 0 comma 001 end style , maka nilai x yang memenuhi adalah ....

  1. begin mathsize 14px style straight x greater than negative 3 over 2 end style 

  2. begin mathsize 14px style straight x less than negative 3 over 2 end style 

  3. begin mathsize 14px style straight x greater than 3 over 2 end style 

  4. begin mathsize 14px style straight x less than 3 over 2 end style 

  5. begin mathsize 14px style negative 3 over 2 less than straight x less than 3 over 2 end style 

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat bahwa jika 0 < < 1 , maka berlaku begin mathsize 14px style straight a to the power of straight x less than straight a to the power of straight y left right double arrow straight x greater than straight y end style 

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 0 comma 01 right parenthesis to the power of straight x end cell less than cell 0 comma 001 end cell row cell left parenthesis left parenthesis 0 comma 1 right parenthesis squared right parenthesis to the power of straight x end cell less than cell left parenthesis 0 comma 1 right parenthesis cubed end cell row cell left parenthesis 0 comma 1 right parenthesis squared straight x end cell less than cell left parenthesis 0 comma 1 right parenthesis cubed end cell end table end style 

Karena 0 < 0,1 < 1, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 straight x end cell greater than 3 row cell space straight x end cell greater than cell 3 over 2 end cell end table end style 

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