# How do you solve \frac { 1} { 2} x + 5\leq 8?

Mar 30, 2018

$\frac{1}{2} x + 5 \le 8$

$\Rightarrow x \le 6$

#### Explanation:

The algebraic rules for solving inequalities are almost exactly the same as for solving equations.

$\frac{1}{2} x + 5 \le 8$

$\Rightarrow \frac{1}{2} x + \cancel{5} - \cancel{\textcolor{red}{5}} \le 8 - \textcolor{red}{5}$

$\Rightarrow \frac{1}{2} x \le 3$

$\Rightarrow \cancel{\textcolor{red}{2}} \cdot \frac{1}{\cancel{2}} x \le \textcolor{red}{2} \cdot 3$

$\Rightarrow x \le 6$