Solve the Inequality for m -9m-5>2m-2

$- 9 m - 5 > 2 m - 2$

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

Subtract $2 m$ from both sides of the inequality.

$- 9 m - 5 - 2 m > - 2$

Subtract $2 m$ from $- 9 m$ .

$- 11 m - 5 > - 2$

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

Add $5$ to both sides of the inequality.

$- 11 m > - 2 + 5$

Add $- 2$ and $5$ .

$- 11 m > 3$

Divide each term in $- 11 m > 3$ by $- 11$ and simplify.

Divide each term in $- 11 m > 3$ by $- 11$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 11 m}{- 11} < \frac{3}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 m}{- 11} < \frac{3}{- 11}$

Divide $m$ by $1$ .

$m < \frac{3}{- 11}$

Simplify the right side.

Move the negative in front of the fraction.

$m < - \frac{3}{11}$

The result can be shown in multiple forms.

Inequality Form:

$m < - \frac{3}{11}$

Interval Notation:

$(- \infty, - \frac{3}{11})$

Solve the Inequality for m -9m-5>2m-2

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