Solve for m -19<5m-4<=-4

$- 19 < 5 m - 4 \leq - 4$

Step 1

Move all terms not containing $m$ from the center section of the inequality.

Add $4$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 19 + 4 < 5 m \leq - 4 + 4$

Add $- 19$ and $4$ .

$- 15 < 5 m \leq - 4 + 4$

Add $- 4$ and $4$ .

$- 15 < 5 m \leq 0$

Step 2

Divide each term in the inequality by $5$ .

$\frac{- 15}{5} < \frac{5 m}{5} \leq \frac{0}{5}$

Step 3

Divide $- 15$ by $5$ .

$- 3 < \frac{5 m}{5} \leq \frac{0}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$- 3 < \frac{5 m}{5} \leq \frac{0}{5}$

Divide $m$ by $1$ .

$- 3 < m \leq \frac{0}{5}$

Step 5

Divide $0$ by $5$ .

$- 3 < m \leq 0$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 3 < m \leq 0$

Interval Notation:

$(- 3, 0]$

Step 7