Solve for x -18<-2x<=14

$- 18 < - 2 x \leq 14$

Step 1

Divide each term in the inequality by $- 2$ .

$\frac{- 18}{- 2} > \frac{- 2 x}{- 2} \geq \frac{14}{- 2}$

Step 2

Divide $- 18$ by $- 2$ .

$9 > \frac{- 2 x}{- 2} \geq \frac{14}{- 2}$

Step 3

Cancel the common factor of $- 2$ .

Cancel the common factor.

$9 > \frac{- 2 x}{- 2} \geq \frac{14}{- 2}$

Divide $x$ by $1$ .

$9 > x \geq \frac{14}{- 2}$

Step 4

Divide $14$ by $- 2$ .

$9 > x \geq - 7$

Step 5

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

$- 7 \leq x < 9$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 7 \leq x < 9$

Interval Notation:

$[- 7, 9)$

Step 7