Solve the Inequality for m 3/5m>-30

$\frac{3}{5} m > - 30$

Step 1

Multiply each term in $\frac{3}{5} m > - 30$ by $\frac{5}{3}$ .

$\frac{3}{5} m \frac{5}{3} > - 30 (\frac{5}{3})$

Step 2

Simplify the left side.

Combine $\frac{3}{5}$ and $m$ .

$\frac{3 m}{5} \cdot \frac{5}{3} > - 30 (\frac{5}{3})$

Cancel the common factor of $3$ .

Factor $3$ out of $3 m$ .

$\frac{3 (m)}{5} \cdot \frac{5}{3} > - 30 (\frac{5}{3})$

Cancel the common factor.

$\frac{3 m}{5} \cdot \frac{5}{3} > - 30 (\frac{5}{3})$

Rewrite the expression.

$\frac{m}{5} \cdot 5 > - 30 (\frac{5}{3})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{m}{5} \cdot 5 > - 30 (\frac{5}{3})$

Rewrite the expression.

$m > - 30 (\frac{5}{3})$

Step 3

Simplify the right side.

Cancel the common factor of $3$ .

Factor $3$ out of $- 30$ .

$m > 3 (- 10) \frac{5}{3}$

Cancel the common factor.

$m > 3 \cdot - 10 \frac{5}{3}$

Rewrite the expression.

$m > - 10 \cdot 5$

Multiply $- 10$ by $5$ .

$m > - 50$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m > - 50$

Interval Notation:

$(- 50, \infty)$