Solve the Inequality for m -3/5m<=-6

$- \frac{3}{5} m \leq - 6$

Step 1

Multiply each term in $- \frac{3}{5} m \leq - 6$ by $- \frac{5}{3}$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{3}{5} m (- \frac{5}{3}) \geq - 6 (- \frac{5}{3})$

Step 2

Simplify the left side.

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

$- \frac{m \cdot 3}{5} (- \frac{5}{3}) \geq - 6 (- \frac{5}{3})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{m \cdot 3}{5}$ into the numerator.

$\frac{- m \cdot 3}{5} (- \frac{5}{3}) \geq - 6 (- \frac{5}{3})$

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$\frac{- m \cdot 3}{5} \cdot \frac{- 5}{3} \geq - 6 (- \frac{5}{3})$

Factor $3$ out of $- m \cdot 3$ .

$\frac{3 \cdot (- m)}{5} \cdot \frac{- 5}{3} \geq - 6 (- \frac{5}{3})$

Cancel the common factor.

$\frac{3 \cdot (- m)}{5} \cdot \frac{- 5}{3} \geq - 6 (- \frac{5}{3})$

Rewrite the expression.

$\frac{- m}{5} \cdot - 5 \geq - 6 (- \frac{5}{3})$

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$\frac{- m}{5} \cdot (5 (- 1)) \geq - 6 (- \frac{5}{3})$

Cancel the common factor.

$\frac{- m}{5} \cdot (5 \cdot - 1) \geq - 6 (- \frac{5}{3})$

Rewrite the expression.

$- m \cdot - 1 \geq - 6 (- \frac{5}{3})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 m \geq - 6 (- \frac{5}{3})$

Multiply $m$ by $1$ .

$m \geq - 6 (- \frac{5}{3})$

Step 3

Simplify the right side.

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$m \geq - 6 (\frac{- 5}{3})$

Factor $3$ out of $- 6$ .

$m \geq 3 (- 2) \frac{- 5}{3}$

Cancel the common factor.

$m \geq 3 \cdot - 2 \frac{- 5}{3}$

Rewrite the expression.

$m \geq - 2 \cdot - 5$

Multiply $- 2$ by $- 5$ .

$m \geq 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m \geq 10$

Interval Notation:

$[10, \infty)$

Solve the Inequality for m -3/5m<=-6

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