Solve for x -24<=-4x<=-8

$- 24 \leq - 4 x \leq - 8$

Step 1

Divide each term in the inequality by $- 4$ .

$\frac{- 24}{- 4} \geq \frac{- 4 x}{- 4} \geq \frac{- 8}{- 4}$

Step 2

Divide $- 24$ by $- 4$ .

$6 \geq \frac{- 4 x}{- 4} \geq \frac{- 8}{- 4}$

Step 3

Cancel the common factor of $- 4$ .

Cancel the common factor.

$6 \geq \frac{- 4 x}{- 4} \geq \frac{- 8}{- 4}$

Divide $x$ by $1$ .

$6 \geq x \geq \frac{- 8}{- 4}$

Step 4

Divide $- 8$ by $- 4$ .

$6 \geq x \geq 2$

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.

$2 \leq x \leq 6$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$2 \leq x \leq 6$

Interval Notation:

$[2, 6]$

Step 7