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Nilai x yang memenuhi pertidaksamaan ( 0 , 125 ) 2 x − x 2 − 2 x 2 − 3 x + 5 ≤ 0 adalah....

Nilai x yang memenuhi pertidaksamaan  adalah....

  1. negative 5 over 2 less or equal than x less or equal than 1

  2. x less or equal than 1 space a t a u space x greater or equal than space 5 over 2

  3. 1 less or equal than x less or equal than space 5 over 2

  4. x less or equal than negative 1 space a t a u space x greater or equal than space 5 over 2

  5. negative 1 less or equal than x less or equal than 5 over 2

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Master Teacher

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Pembahasan

Nilai x yang memenuhi adalah dengan melihat garis bilangan Maka himpunan penyelesaian nya adalah

Nilai x yang memenuhi adalah

left parenthesis 0 comma 125 right parenthesis to the power of 2 x minus x squared end exponent minus 2 to the power of x squared minus 3 x plus 5 end exponent less or equal than 0

open parentheses 1 over 8 close parentheses to the power of 2 x minus x squared end exponent less or equal than 2 to the power of x squared minus 3 x plus 5 end exponent

left parenthesis 2 to the power of negative 3 end exponent right parenthesis space to the power of 2 x minus x squared end exponent less or equal than 2 to the power of x squared minus 3 x plus 5 end exponent

2 to the power of negative 6 x plus 3 x squared end exponent less or equal than 2 to the power of x squared minus 3 x plus 5 end exponent

negative 6 x plus 3 x squared less or equal than x squared minus 3 x plus 5

3 x squared minus 6 x minus x squared plus 3 x minus 5 less or equal than 0

2 x squared minus 3 x minus 5 less or equal than 0

left parenthesis 2 x minus 5 right parenthesis left parenthesis x plus 1 right parenthesis less or equal than 0

dengan melihat garis bilangan

Maka himpunan penyelesaian nya adalah  open curly brackets x vertical line minus 1 less or equal than x less or equal than 5 over 2 close curly brackets

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