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Nilai x yang memenuhi pertidaksamaan 2 2 x 2 − x − 2 . 2 − x 2 + 3 x − 10 < 2 4 1 ​ adalah ...

Nilai x yang memenuhi pertidaksamaan adalah ...

  1. straight x less than negative 4 straight space atau straight space straight x greater than negative 2

  2. straight x less than negative 2 straight space atau straight space straight x greater than 4 over 3

  3. negative 2 less than straight x less than negative 1

  4. negative 2 less than straight x less than 4 over 3

  5. negative 4 less than straight x less than 2

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Pembahasan

Nilai space straight x space yang space memenuhi space adalah 2 to the power of 2 straight x squared minus straight x minus 2 end exponent.2 to the power of negative straight x squared plus 3 straight x minus 10 end exponent less than 1 over 2 to the power of 4 2 to the power of open parentheses 2 straight x squared minus straight x minus 2 close parentheses plus open parentheses negative straight x squared plus 3 straight x minus 10 close parentheses end exponent less than 2 to the power of negative 4 end exponent 2 to the power of straight x squared plus 2 straight x minus 12 end exponent less than 2 to the power of negative 4 end exponent straight x squared plus 2 straight x minus 12 less than negative 4 straight x squared plus 2 straight x minus 8 less than 0 left parenthesis straight x plus 4 right parenthesis left parenthesis straight x minus 2 right parenthesis less than 0 straight x equals negative 4 space atau space straight x equals 2

Maka space nilai space straight x space yang space memenuhi space adalah space space minus 4 less than straight x less than 2

 

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