Solve the Inequality for x -5x+9<-3x-11

$- 5 x + 9 < - 3 x - 11$

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

Add $3 x$ to both sides of the inequality.

$- 5 x + 9 + 3 x < - 11$

Add $- 5 x$ and $3 x$ .

$- 2 x + 9 < - 11$

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

Subtract $9$ from both sides of the inequality.

$- 2 x < - 11 - 9$

Subtract $9$ from $- 11$ .

$- 2 x < - 20$

Divide each term in $- 2 x < - 20$ by $- 2$ and simplify.

Divide each term in $- 2 x < - 20$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{- 20}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{- 20}{- 2}$

Divide $x$ by $1$ .

$x > \frac{- 20}{- 2}$

Simplify the right side.

Divide $- 20$ by $- 2$ .

$x > 10$

The result can be shown in multiple forms.

Inequality Form:

$x > 10$

Interval Notation:

$(10, \infty)$

Solve the Inequality for x -5x+9<-3x-11

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