# How do you solve the inequality 1/2x<=6?

Oct 13, 2017

$x \le 12$

#### Explanation:

$\frac{1}{2} x \le 6 \implies x \le \frac{6}{\frac{1}{2}} \implies x \le 6 \cdot 2 \implies x \le 12$

Hope that helped :)

Oct 13, 2017

$x \le 12$

#### Explanation:

$\frac{1}{2} x \le 6$
Let's start by multiply both sides by $\textcolor{red}{2}$
$\textcolor{red}{2} \left(\frac{1}{2} x\right) \le \textcolor{red}{2} \left(6\right)$
$\left(\frac{\cancel{2}}{\cancel{2}} x\right) \le 12$
$x \le 12$