Solve the Inequality for x -(9x)/11-7<-5

$- \frac{9 x}{11} - 7 < - 5$

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

Add $7$ to both sides of the inequality.

$- \frac{9 x}{11} < - 5 + 7$

Add $- 5$ and $7$ .

$- \frac{9 x}{11} < 2$

Divide each term in $- \frac{9 x}{11} < 2$ by $- 1$ and simplify.

Divide each term in $- \frac{9 x}{11} < 2$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{9 x}{11}}{- 1} > \frac{2}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{9 x}{11}}{1} > \frac{2}{- 1}$

Divide $\frac{9 x}{11}$ by $1$ .

$\frac{9 x}{11} > \frac{2}{- 1}$

Simplify the right side.

Divide $2$ by $- 1$ .

$\frac{9 x}{11} > - 2$

Multiply both sides by $11$ .

$\frac{9 x}{11} \cdot 11 > - 2 \cdot 11$

Simplify.

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{9 x}{11} \cdot 11 > - 2 \cdot 11$

Rewrite the expression.

$9 x > - 2 \cdot 11$

Simplify the right side.

Multiply $- 2$ by $11$ .

$9 x > - 22$

Divide each term in $9 x > - 22$ by $9$ and simplify.

Divide each term in $9 x > - 22$ by $9$ .

$\frac{9 x}{9} > \frac{- 22}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} > \frac{- 22}{9}$

Divide $x$ by $1$ .

$x > \frac{- 22}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$x > - \frac{22}{9}$

The result can be shown in multiple forms.

Inequality Form:

$x > - \frac{22}{9}$

Interval Notation:

$(- \frac{22}{9}, \infty)$

Solve the Inequality for x -(9x)/11-7<-5

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