Graph -20<=-x-10<=-16

$- 20 \leq - x - 10 \leq - 16$

Step 1

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

Add $10$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 20 + 10 \leq - x \leq - 16 + 10$

Add $- 20$ and $10$ .

$- 10 \leq - x \leq - 16 + 10$

Add $- 16$ and $10$ .

$- 10 \leq - x \leq - 6$

Step 2

Multiply each term in the inequality by $- 1$ .

$\frac{- 10}{- 1} \geq \frac{- x}{- 1} \geq \frac{- 6}{- 1}$

Step 3

Divide $- 10$ by $- 1$ .

$10 \geq \frac{- x}{- 1} \geq \frac{- 6}{- 1}$

Step 4

Dividing two negative values results in a positive value.

$10 \geq \frac{x}{1} \geq \frac{- 6}{- 1}$

Step 5

Divide $x$ by $1$ .

$10 \geq x \geq \frac{- 6}{- 1}$

Step 6

Divide $- 6$ by $- 1$ .

$10 \geq x \geq 6$

Step 7

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

$6 \leq x \leq 10$

Step 8