Solve for g -9g+9>-g-7

$- 9 g + 9 > - g - 7$

Step 1

Move all terms containing $g$ to the left side of the inequality.

Add $g$ to both sides of the inequality.

$- 9 g + 9 + g > - 7$

Add $- 9 g$ and $g$ .

$- 8 g + 9 > - 7$

Step 2

Move all terms not containing $g$ to the right side of the inequality.

Subtract $9$ from both sides of the inequality.

$- 8 g > - 7 - 9$

Subtract $9$ from $- 7$ .

$- 8 g > - 16$

Step 3

Divide each term in $- 8 g > - 16$ by $- 8$ and simplify.

Divide each term in $- 8 g > - 16$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 g}{- 8} < \frac{- 16}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 g}{- 8} < \frac{- 16}{- 8}$

Divide $g$ by $1$ .

$g < \frac{- 16}{- 8}$

Simplify the right side.

Divide $- 16$ by $- 8$ .

$g < 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$g < 2$

Interval Notation:

$(- \infty, 2)$

Solve for g -9g+9>-g-7

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