Solve for x -10<-2x<=10

$- 10 < - 2 x \leq 10$

Step 1

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

$\frac{- 10}{- 2} > \frac{- 2 x}{- 2} \geq \frac{10}{- 2}$

Step 2

Divide $- 10$ by $- 2$ .

$5 > \frac{- 2 x}{- 2} \geq \frac{10}{- 2}$

Step 3

Cancel the common factor of $- 2$ .

Cancel the common factor.

$5 > \frac{- 2 x}{- 2} \geq \frac{10}{- 2}$

Divide $x$ by $1$ .

$5 > x \geq \frac{10}{- 2}$

Step 4

Divide $10$ by $- 2$ .

$5 > x \geq - 5$

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.

$- 5 \leq x < 5$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 5 \leq x < 5$

Interval Notation:

$[- 5, 5)$

Step 7