Algebra Examples

$- 14 \leq 2 x < 18$

Step 1

Divide each term in the inequality by $2$ .

$\frac{- 14}{2} \leq \frac{2 x}{2} < \frac{18}{2}$

Step 2

Divide $- 14$ by $2$ .

$- 7 \leq \frac{2 x}{2} < \frac{18}{2}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$- 7 \leq \frac{2 x}{2} < \frac{18}{2}$

Step 3.2

Divide $x$ by $1$ .

$- 7 \leq x < \frac{18}{2}$

Step 4

Divide $18$ by $2$ .

$- 7 \leq x < 9$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$- 7 \leq x < 9$

Interval Notation:

$[- 7, 9)$

Step 6