# How do you solve -2x + 8\leq 24?

Jun 21, 2018

#### Answer:

$x \ge - 8$

#### Explanation:

$- 2 x + 8 \le 24$

Subtract $\textcolor{b l u e}{8}$ from both sides:
$- 2 x + 8 \quad \textcolor{b l u e}{- \quad 8} \le 24 \quad \textcolor{b l u e}{- \quad 8}$

$- 2 x \le 16$

Now we have to divide both sides by $- 2$. However, in inequalities, when you multiply or divide both sides by a negative number, you have to switch the inequality sign. So the $\le$ becomes $\ge$:
$\frac{- 2 x}{\textcolor{b l u e}{- 2}} \textcolor{b l u e}{\ge} \frac{16}{\textcolor{b l u e}{- 2}}$

Therefore,
$x \ge - 8$

Hope this helps!