Solve the Inequality for x -10x+3>x-19

$- 10 x + 3 > x - 19$

Step 1

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

Subtract $x$ from both sides of the inequality.

$- 10 x + 3 - x > - 19$

Subtract $x$ from $- 10 x$ .

$- 11 x + 3 > - 19$

Step 2

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

Subtract $3$ from both sides of the inequality.

$- 11 x > - 19 - 3$

Subtract $3$ from $- 19$ .

$- 11 x > - 22$

Step 3

Divide each term in $- 11 x > - 22$ by $- 11$ and simplify.

Divide each term in $- 11 x > - 22$ by $- 11$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 11 x}{- 11} < \frac{- 22}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 x}{- 11} < \frac{- 22}{- 11}$

Divide $x$ by $1$ .

$x < \frac{- 22}{- 11}$

Simplify the right side.

Divide $- 22$ by $- 11$ .

$x < 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 2$

Interval Notation:

$(- \infty, 2)$

Solve the Inequality for x -10x+3>x-19

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