# How do you solve -2x > 1/9?

Jul 8, 2015

Solve for $x$ as if you were solving an equation, except that when you divide by a negative number, the inequality is reversed.

#### Explanation:

$- 2 x > \frac{1}{9}$

Divide both sides of the inequality by $- 2$. This will reverse the inequality.

$x < \frac{1}{9} \div - \frac{2}{1}$ =

$x < \frac{1}{9} \cdot - \frac{1}{2}$ =

$x < - \frac{1}{18}$