Graph -9<=-3x-6<=6

$- 9 \leq - 3 x - 6 \leq 6$

Move all terms not containing $x$ from the center section of the inequality.

Add $6$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 9 + 6 \leq - 3 x \leq 6 + 6$

Add $- 9$ and $6$ .

$- 3 \leq - 3 x \leq 6 + 6$

Add $6$ and $6$ .

$- 3 \leq - 3 x \leq 12$

Divide each term in the inequality by $- 3$ .

$\frac{- 3}{- 3} \geq \frac{- 3 x}{- 3} \geq \frac{12}{- 3}$

Divide $- 3$ by $- 3$ .

$1 \geq \frac{- 3 x}{- 3} \geq \frac{12}{- 3}$

Cancel the common factor of $- 3$ .

Cancel the common factor.

$1 \geq \frac{- 3 x}{- 3} \geq \frac{12}{- 3}$

Divide $x$ by $1$ .

$1 \geq x \geq \frac{12}{- 3}$

Divide $12$ by $- 3$ .

$1 \geq x \geq - 4$

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$- 4 \leq x \leq 1$