Solve for x 12<-2x<16

$12 < - 2 x < 16$

Step 1

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

$\frac{12}{- 2} > \frac{- 2 x}{- 2} > \frac{16}{- 2}$

Step 2

Divide $12$ by $- 2$ .

$- 6 > \frac{- 2 x}{- 2} > \frac{16}{- 2}$

Step 3

Cancel the common factor of $- 2$ .

Cancel the common factor.

$- 6 > \frac{- 2 x}{- 2} > \frac{16}{- 2}$

Divide $x$ by $1$ .

$- 6 > x > \frac{16}{- 2}$

Step 4

Divide $16$ by $- 2$ .

$- 6 > x > - 8$

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.

$- 8 < x < - 6$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 8 < x < - 6$

Interval Notation:

$(- 8, - 6)$

Step 7