Solve for x 5x-8<11x-2

$5 x - 8 < 11 x - 2$

Step 1

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

Subtract $11 x$ from both sides of the inequality.

$5 x - 8 - 11 x < - 2$

Subtract $11 x$ from $5 x$ .

$- 6 x - 8 < - 2$

Step 2

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

Add $8$ to both sides of the inequality.

$- 6 x < - 2 + 8$

Add $- 2$ and $8$ .

$- 6 x < 6$

Step 3

Divide each term in $- 6 x < 6$ by $- 6$ and simplify.

Divide each term in $- 6 x < 6$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} > \frac{6}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} > \frac{6}{- 6}$

Divide $x$ by $1$ .

$x > \frac{6}{- 6}$

Simplify the right side.

Divide $6$ by $- 6$ .

$x > - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$

Solve for x 5x-8<11x-2

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