# How do you solve 4x+5 < 9 ?

Mar 3, 2018

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{5}$ from each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$4 x + 5 - \textcolor{red}{5} < 9 - \textcolor{red}{5}$

$4 x + 0 < 4$

$4 x < 4$

Now, divide each side of the inequality by $\textcolor{red}{4}$ to solve for $x$ while keeping the inequality balanced:

$\frac{4 x}{\textcolor{red}{4}} < \frac{4}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x}{\cancel{\textcolor{red}{4}}} < 1$

$x < 1$