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Himpunan penyelesaian dari pertidaksamaan 4 x − 1 > 2 3 x untuk x ∈ R adalah ....

Himpunan penyelesaian dari pertidaksamaan  untuk ∈ R  adalah ....

  1. begin mathsize 14px style open curly brackets straight x │ straight x greater than negative 2 comma straight x element of straight R close curly brackets end style 

  2. begin mathsize 14px style open curly brackets straight x │ straight x less than negative 2 comma straight x element of straight R close curly brackets end style 

  3. begin mathsize 14px style open curly brackets straight x │ straight x greater than 2 comma straight x element of straight R close curly brackets end style 

  4. begin mathsize 14px style open curly brackets straight x │ straight x less than 2 comma straight x element of straight R close curly brackets end style 

  5. begin mathsize 14px style open curly brackets straight x │ minus 2 less than straight x less than 2 comma straight x element of straight R close curly brackets end style 

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M. Robo

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Ingat bahwa jika a > 1 , maka berlaku Perhatikan bahwa Karena 2 > 1, maka Sehingga himpunan penyelesaian dari pertidaksamaan adalah

Ingat bahwa jika > 1 , maka berlaku begin mathsize 14px style straight a to the power of straight x greater 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 4 to the power of straight x minus 1 end exponent end cell greater than cell 2 to the power of 3 straight x end exponent end cell row cell left parenthesis 2 squared right parenthesis to the power of straight x minus 1 end exponent end cell greater than cell 2 to the power of 3 straight x end exponent end cell row cell 2 to the power of 2 left parenthesis straight x minus 1 right parenthesis end exponent end cell greater than cell 2 to the power of 3 straight x end exponent end cell row cell 2 to the power of 2 straight x minus 2 end exponent end cell greater than cell 2 to the power of 3 straight x end exponent end cell end table end style 

Karena 2 > 1, maka

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

Sehingga himpunan penyelesaian dari pertidaksamaan begin mathsize 14px style 4 to the power of straight x minus 1 end exponent greater than 2 to the power of 3 straight x end exponent end style adalah undefined 

 

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Himpunan penyelesaian dari pertidaksamaan 9 x − 2 ≤ 27 1 ​ untuk x ∈ R adalah ....

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