## Algebra 1

$33\geq q\geq-21$
$-3\leq\frac{6-q}{9}\leq3\longrightarrow$ 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.