Solve the Inequality for x -14>=-x-9>-18

$- 14 \geq - x - 9 > - 18$

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

Add $9$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 14 + 9 \geq - x > - 18 + 9$

Add $- 14$ and $9$ .

$- 5 \geq - x > - 18 + 9$

Add $- 18$ and $9$ .

$- 5 \geq - x > - 9$

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

$\frac{- 5}{- 1} \leq \frac{- x}{- 1} < \frac{- 9}{- 1}$

Divide $- 5$ by $- 1$ .

$5 \leq \frac{- x}{- 1} < \frac{- 9}{- 1}$

Dividing two negative values results in a positive value.

$5 \leq \frac{x}{1} < \frac{- 9}{- 1}$

Divide $x$ by $1$ .

$5 \leq x < \frac{- 9}{- 1}$

Divide $- 9$ by $- 1$ .

$5 \leq x < 9$

The result can be shown in multiple forms.

Inequality Form:

$5 \leq x < 9$

Interval Notation:

$[5, 9)$