Solve the Inequality for g 6(-6g+6)>-2(19g-17)

$6 (- 6 g + 6) > - 2 (19 g - 17)$

Simplify $6 (- 6 g + 6)$ .

Start simplifying.

$0 + 0 + 6 (- 6 g + 6) > - 2 (19 g - 17)$

Simplify by adding zeros.

$6 (- 6 g + 6) > - 2 (19 g - 17)$

Apply the distributive property.

$6 (- 6 g) + 6 \cdot 6 > - 2 (19 g - 17)$

Multiply.

Multiply $- 6$ by $6$ .

$- 36 g + 6 \cdot 6 > - 2 (19 g - 17)$

Multiply $6$ by $6$ .

$- 36 g + 36 > - 2 (19 g - 17)$

Simplify $- 2 (19 g - 17)$ .

Apply the distributive property.

$- 36 g + 36 > - 2 (19 g) - 2 \cdot - 17$

Multiply.

Multiply $19$ by $- 2$ .

$- 36 g + 36 > - 38 g - 2 \cdot - 17$

Multiply $- 2$ by $- 17$ .

$- 36 g + 36 > - 38 g + 34$

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

Add $38 g$ to both sides of the inequality.

$- 36 g + 36 + 38 g > 34$

Add $- 36 g$ and $38 g$ .

$2 g + 36 > 34$

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

Subtract $36$ from both sides of the inequality.

$2 g > 34 - 36$

Subtract $36$ from $34$ .

$2 g > - 2$

Divide each term in $2 g > - 2$ by $2$ and simplify.

Divide each term in $2 g > - 2$ by $2$ .

$\frac{2 g}{2} > \frac{- 2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 g}{2} > \frac{- 2}{2}$

Divide $g$ by $1$ .

$g > \frac{- 2}{2}$

Simplify the right side.

Divide $- 2$ by $2$ .

$g > - 1$

The result can be shown in multiple forms.

Inequality Form:

$g > - 1$

Interval Notation:

$(- 1, \infty)$

Solve the Inequality for g 6(-6g+6)>-2(19g-17)

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