Solve the Inequality for x -12x+11<8x-9

$- 12 x + 11 < 8 x - 9$

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

Subtract $8 x$ from both sides of the inequality.

$- 12 x + 11 - 8 x < - 9$

Subtract $8 x$ from $- 12 x$ .

$- 20 x + 11 < - 9$

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

Subtract $11$ from both sides of the inequality.

$- 20 x < - 9 - 11$

Subtract $11$ from $- 9$ .

$- 20 x < - 20$

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

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

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

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 20$ by $- 20$ .

$x > 1$

The result can be shown in multiple forms.

Inequality Form:

$x > 1$

Interval Notation:

$(1, \infty)$

Solve the Inequality for x -12x+11<8x-9

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