Question

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

Answer 1

Answer:

$27\leq q\leq 81$

Step-by-step explanation:

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