Answer
$33\geq q\geq-21$
Work Step by Step
$-3\leq\frac{6-q}{9}\leq3\longrightarrow$ multiply all 3 parts by 9
$-3\times9\leq\frac{6-q}{9}\times9\leq3\times9\longrightarrow$ multiply
$-27\leq6-q\leq27\longrightarrow$ subtract 6 from all 3 parts
$-27-6\leq6-q-6\leq27-6\longrightarrow$ subtract
$-33\leq -q\leq21\longrightarrow$ multiply all 3 parts by -1; reverse the inequality signs
$-33\times-1\geq -q\times-1\geq 21\times-1\longrightarrow$ multiply
$33\geq q\geq-21$
The graph has solid circles at the endpoints since 33 and -21 are included in the solution set.
