# How do you solve -10<=x/-2?

Dec 17, 2016

$x \le 20$

#### Explanation:

We need to multiply each side of the inequality by $- 2$ to solve for $x$. However, when solving inequalities and you multiply or divide by a negative term this causes the inequality to reverse.

$- 2 \cdot - 10 \ge \frac{x}{-} 2 \cdot - 2$

$20 \ge \frac{x}{\cancel{- 2}} \cdot \cancel{- 2}$

$20 \ge x$

Or, to solve in terms of $x$ we can reverse or "flip" the inequality:

$x \le 20$