Graph 2/3(x-9)>-8

$\frac{2}{3} (x - 9) > - 8$

Simplify.

Apply the distributive property.

$\frac{2}{3} x + \frac{2}{3} \cdot - 9 > - 8$

Combine $\frac{2}{3}$ and $x$ .

$\frac{2 x}{3} + \frac{2}{3} \cdot - 9 > - 8$

Cancel the common factor of $3$ .

Factor $3$ out of $- 9$ .

$\frac{2 x}{3} + \frac{2}{3} \cdot (3 (- 3)) > - 8$

Cancel the common factor.

$\frac{2 x}{3} + \frac{2}{3} \cdot (3 \cdot - 3) > - 8$

Rewrite the expression.

$\frac{2 x}{3} + 2 \cdot - 3 > - 8$

Multiply $2$ by $- 3$ .

$\frac{2 x}{3} - 6 > - 8$

Multiply each term in $\frac{2 x}{3} - 6 > - 8$ by $\frac{3}{2}$ to eliminate the fractions.

Multiply each term in $\frac{2 x}{3} - 6 > - 8$ by $\frac{3}{2}$ .

$\frac{2 x}{3} \cdot \frac{3}{2} - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Simplify the left side.

Simplify each term.

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x)}{3} \cdot \frac{3}{2} - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Cancel the common factor.

$\frac{2 x}{3} \cdot \frac{3}{2} - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Rewrite the expression.

$\frac{x}{3} \cdot 3 - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Rewrite the expression.

$x - 6 (\frac{3}{2}) > - 8 (\frac{3}{2})$

Cancel the common factor of $2$ .

Factor $2$ out of $- 6$ .

$x + 2 (- 3) \frac{3}{2} > - 8 (\frac{3}{2})$

Cancel the common factor.

$x + 2 \cdot - 3 \frac{3}{2} > - 8 (\frac{3}{2})$

Rewrite the expression.

$x - 3 \cdot 3 > - 8 (\frac{3}{2})$

Multiply $- 3$ by $3$ .

$x - 9 > - 8 (\frac{3}{2})$

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $- 8$ .

$x - 9 > 2 (- 4) \frac{3}{2}$

Cancel the common factor.

$x - 9 > 2 \cdot - 4 \frac{3}{2}$

Rewrite the expression.

$x - 9 > - 4 \cdot 3$

Multiply $- 4$ by $3$ .

$x - 9 > - 12$

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

Add $9$ to both sides of the inequality.

$x > - 12 + 9$

Add $- 12$ and $9$ .

$x > - 3$

Graph 2/3(x-9)>-8

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