# How do you solve -4x - 7 > 11?

Mar 25, 2016

$x < - 4.5$

#### Explanation:

The solution starts off just as if you were solving an equation:

$- 4 x - 7 > 11$ Add 7 to both side of your equation.

$- 4 x - 7 + 7 > 11 + 7$ simplify

$- 4 x > 18$

The next obvious step is to divide both sides of the inequality by $- 4$, and this is correct. BUT, you must remember that when solving an inequality, if you multiply or divide by a negative, the inequality sign reverses. So the final step is:

$\frac{- 4 x}{-} 4 < \frac{18}{-} 4$

$x < - 4.5$