Solve the Inequality for m m/-8<=-2.4

$\frac{m}{- 8} \leq - 2.4$

Step 1

Multiply both sides by $- 8$ .

$\frac{m}{- 8} \cdot - 8 \geq - 2.4 \cdot - 8$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{m}{- 8} \cdot - 8$ .

Cancel the common factor of $8$ .

Factor $8$ out of $- 8$ .

$\frac{m}{8 (- 1)} \cdot - 8 \geq - 2.4 \cdot - 8$

Factor $8$ out of $- 8$ .

$\frac{m}{8 \cdot - 1} \cdot (8 \cdot - 1) \geq - 2.4 \cdot - 8$

Cancel the common factor.

$\frac{m}{8 \cdot - 1} \cdot (8 \cdot - 1) \geq - 2.4 \cdot - 8$

Rewrite the expression.

$\frac{m}{- 1} \cdot - 1 \geq - 2.4 \cdot - 8$

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

$\frac{m \cdot - 1}{- 1} \geq - 2.4 \cdot - 8$

Simplify the expression.

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

$- 1 \cdot (m \cdot - 1) \geq - 2.4 \cdot - 8$

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

$- (m \cdot - 1) \geq - 2.4 \cdot - 8$

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

$- (- 1 \cdot m) \geq - 2.4 \cdot - 8$

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

$- - m \geq - 2.4 \cdot - 8$

Multiply $- - m$ .

Multiply $- 1$ by $- 1$ .

$1 m \geq - 2.4 \cdot - 8$

Multiply $m$ by $1$ .

$m \geq - 2.4 \cdot - 8$

Simplify the right side.

Multiply $- 2.4$ by $- 8$ .

$m \geq 19.2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$m \geq 19.2$

Interval Notation:

$[19.2, \infty)$