# How do you solve 4x + 5< 21?

May 11, 2018

$x < 4$

#### Explanation:

$4 x + 5 < 21$

Solving inequalities is similar to solving equations.

First, subtract $\textcolor{b l u e}{5}$ from both sides of the inequality:
$4 x + 5 \quad \textcolor{b l u e}{- \quad 5} < 21 \quad \textcolor{b l u e}{- \quad 5}$

$4 x < 16$

Now divide both sides by $\textcolor{b l u e}{4}$:
$\frac{4 x}{\textcolor{b l u e}{4}} < \frac{16}{\textcolor{b l u e}{4}}$

Therefore,
$x < 4$

Hope this helps!