Solve the Inequality for m m/-5<-3

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

Step 1

Multiply both sides by $- 5$ .

$\frac{m}{- 5} \cdot - 5 > - 3 \cdot - 5$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{m}{- 5} \cdot - 5$ .

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$\frac{m}{5 (- 1)} \cdot - 5 > - 3 \cdot - 5$

Factor $5$ out of $- 5$ .

$\frac{m}{5 \cdot - 1} \cdot (5 \cdot - 1) > - 3 \cdot - 5$

Cancel the common factor.

$\frac{m}{5 \cdot - 1} \cdot (5 \cdot - 1) > - 3 \cdot - 5$

Rewrite the expression.

$\frac{m}{- 1} \cdot - 1 > - 3 \cdot - 5$

Combine $\frac{m}{- 1}$ and $- 1$ .

$\frac{m \cdot - 1}{- 1} > - 3 \cdot - 5$

Simplify the expression.

Move the negative one from the denominator of $\frac{m \cdot - 1}{- 1}$ .

$- 1 \cdot (m \cdot - 1) > - 3 \cdot - 5$

Rewrite $- 1 \cdot (m \cdot - 1)$ as $- (m \cdot - 1)$ .

$- (m \cdot - 1) > - 3 \cdot - 5$

Move $- 1$ to the left of $m$ .

$- (- 1 \cdot m) > - 3 \cdot - 5$

Rewrite $- 1 m$ as $- m$ .

$- - m > - 3 \cdot - 5$

Multiply $- - m$ .

Multiply $- 1$ by $- 1$ .

$1 m > - 3 \cdot - 5$

Multiply $m$ by $1$ .

$m > - 3 \cdot - 5$

Simplify the right side.

Multiply $- 3$ by $- 5$ .

$m > 15$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$m > 15$

Interval Notation:

$(15, \infty)$