Solve the Inequality for g 4>=-g/8

$4 \geq - \frac{g}{8}$

Step 1

Multiply both sides by $8$ .

$4 \cdot 8 \geq - \frac{g}{8} \cdot 8$

Step 2

Simplify.

Simplify the left side.

Multiply $4$ by $8$ .

$32 \geq - \frac{g}{8} \cdot 8$

Simplify the right side.

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{g}{8}$ into the numerator.

$32 \geq \frac{- g}{8} \cdot 8$

Cancel the common factor.

$32 \geq \frac{- g}{8} \cdot 8$

Rewrite the expression.

$32 \geq - g$

Step 3

Solve for $g$ .

Rewrite so $g$ is on the left side of the inequality.

$- g \leq 32$

Divide each term in $- g \leq 32$ by $- 1$ and simplify.

Divide each term in $- g \leq 32$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- g}{- 1} \geq \frac{32}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{g}{1} \geq \frac{32}{- 1}$

Divide $g$ by $1$ .

$g \geq \frac{32}{- 1}$

Simplify the right side.

Divide $32$ by $- 1$ .

$g \geq - 32$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$g \geq - 32$

Interval Notation:

$[- 32, \infty)$

Solve the Inequality for g 4>=-g/8

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