Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $- 14$ and $9$ .

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

Step 1.3

Add $- 18$ and $9$ .

$- 5 \geq - x > - 9$

Step 2

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

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

Step 3

Divide $- 5$ by $- 1$ .

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

Step 4

Dividing two negative values results in a positive value.

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

Step 5

Divide $x$ by $1$ .

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

Step 6

Divide $- 9$ by $- 1$ .

$5 \leq x < 9$

Step 7

The result can be shown in multiple forms.

Inequality Form:

$5 \leq x < 9$

Interval Notation:

$[5, 9)$

Step 8