Solve for x -11x-4>-15

$- 11 x - 4 > - 15$

Step 1

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

Add $4$ to both sides of the inequality.

$- 11 x > - 15 + 4$

Add $- 15$ and $4$ .

$- 11 x > - 11$

Step 2

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

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

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

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 11$ by $- 11$ .

$x < 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 1$

Interval Notation:

$(- \infty, 1)$

Solve for x -11x-4>-15

Related Questions

Support LCMGCF.com by disabling your adblocker.