# Question #ea364

Sep 20, 2016

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

#### Explanation:

Treat an inequality in the same way as an equation - umless you mulitply or divide by a negative number, in which the inequality sign changes around.

However, if you can keep the variable positive, that problem does not arise.

$\textcolor{\to m a \to}{- 6 x} + 2 < 2 x \textcolor{b l u e}{+ 6}$

$2 \textcolor{b l u e}{- 6} < 2 x \textcolor{\to m a \to}{+ 6 x}$

$- 4 < 8 x \text{ "larr div 8" }$ sign stays the same

$- \frac{4}{8} < x$

$- \frac{1}{2} < x \text{ " hArr " } x > - \frac{1}{2}$