# How do you solve 4 >=x/-2?

Jul 21, 2018

$x \ge - 8$

#### Explanation:

$4 \ge \frac{x}{-} 2$

To solve this, multiply both sides by $\textcolor{b l u e}{- 2}$. However, we know that when we multiply or divide by a negative number, the inequality sign changes to its opposite. In this case, it would change to $\le$
$4 \cdot - 2 \textcolor{b l u e}{\le} \frac{x}{-} 2 \cdot - 2$

$- 8 \le x$

$x \ge - 8$

This can be said as "$x$ is more than or equal to $- 8$."

Here's a graph of it on a number line:

(mathwarehouse.com)

The closed circle on $- 8$ means that $- 8$ is one of the solutions (and also anything more than it).

Hope this helps!