Solve for x -25<-5x<=-5

$- 25 < - 5 x \leq - 5$

Step 1

Divide each term in the inequality by $- 5$ .

$\frac{- 25}{- 5} > \frac{- 5 x}{- 5} \geq \frac{- 5}{- 5}$

Step 2

Divide $- 25$ by $- 5$ .

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

Step 3

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 4

Divide $- 5$ by $- 5$ .

$5 > x \geq 1$

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.

$1 \leq x < 5$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$1 \leq x < 5$

Interval Notation:

$[1, 5)$

Step 7