Question

solve -27 ≤ -3x - 9 ≤ -12. graph the solution.
the solution is

Explanation:

Step1: Add 9 to all parts

$-27 + 9\leq -3x-9 + 9\leq -12 + 9$
$-18\leq -3x\leq -3$

Step2: Divide all parts by -3 and reverse inequality signs

$\frac{-18}{-3}\geq\frac{-3x}{-3}\geq\frac{-3}{-3}$
$6\geq x\geq 1$

Answer:

$1\leq x\leq 6$
To graph: Place a closed - circle at 1 and a closed - circle at 6, and shade the region between them on the number line.