Solve for g 32>16-4g>12

$32 > 16 - 4 g > 12$

Step 1

Move all terms not containing $g$ from the center section of the inequality.

Subtract $16$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$32 - 16 > - 4 g > 12 - 16$

Subtract $16$ from $32$ .

$16 > - 4 g > 12 - 16$

Subtract $16$ from $12$ .

$16 > - 4 g > - 4$

Step 2

Divide each term in the inequality by $- 4$ .

$\frac{16}{- 4} < \frac{- 4 g}{- 4} < \frac{- 4}{- 4}$

Step 3

Divide $16$ by $- 4$ .

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

Step 4

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $g$ by $1$ .

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

Step 5

Divide $- 4$ by $- 4$ .

$- 4 < g < 1$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 4 < g < 1$

Interval Notation:

$(- 4, 1)$

Step 7