Solve the Inequality for g g/-3.2>4

$\frac{g}{- 3.2} > 4$

Step 1

Multiply both sides by $- 3.2$ .

$\frac{g}{- 3.2} \cdot - 3.2 < 4 \cdot - 3.2$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{g}{- 3.2} \cdot - 3.2$ .

Cancel the common factor of $3.2$ .

Factor $3.2$ out of $- 3.2$ .

$\frac{g}{3.2 (- 1)} \cdot - 3.2 < 4 \cdot - 3.2$

Factor $3.2$ out of $- 3.2$ .

$\frac{g}{3.2 \cdot - 1} \cdot (3.2 \cdot - 1) < 4 \cdot - 3.2$

Cancel the common factor.

$\frac{g}{3.2 \cdot - 1} \cdot (3.2 \cdot - 1) < 4 \cdot - 3.2$

Rewrite the expression.

$\frac{g}{- 1} \cdot - 1 < 4 \cdot - 3.2$

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

$\frac{g \cdot - 1}{- 1} < 4 \cdot - 3.2$

Simplify the expression.

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

$- 1 \cdot (g \cdot - 1) < 4 \cdot - 3.2$

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

$- (g \cdot - 1) < 4 \cdot - 3.2$

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

$- (- 1 \cdot g) < 4 \cdot - 3.2$

Rewrite $- 1 g$ as $- g$ .

$- - g < 4 \cdot - 3.2$

Multiply $- - g$ .

Multiply $- 1$ by $- 1$ .

$1 g < 4 \cdot - 3.2$

Multiply $g$ by $1$ .

$g < 4 \cdot - 3.2$

Simplify the right side.

Multiply $4$ by $- 3.2$ .

$g < - 12.8$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$g < - 12.8$

Interval Notation:

$(- \infty, - 12.8)$