sherellebingbam60 sherellebingbam60
  • 02-02-2020
  • Mathematics
contestada

-3< or equal to 6-q/9 < or equal to 3

Respuesta :

sam4040
sam4040 sam4040
  • 10-02-2020

Answer:

[tex]27\leq q\leq 81[/tex]

Step-by-step explanation:

[tex]-3\leq 6-\frac{q}{9}\leq 3\\\\Multiply\ by\ -1\\\\3\geq \frac{q}{9}-6\geq -3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (as\ a\leq b\Rightarrow -a\geq b)\\\\add\ 6\ in\ every\ term\\\\3+6\geq \frac{q}{9}-6+6\geq -3+6\\\\9\geq \frac{q}{9}\geq 3\\\\Multiply\ by\ 9\\\\9\times 9\geq \frac{q}{9}\times 9\geq 3\times 9\\\\81\geq q\geq 27\\\\\Rightarrow 27\leq q\leq 81\\\\[/tex]

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