# How do you solve and graph x/4<9?

Aug 17, 2017

See a solution process below:

#### Explanation:

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

$\textcolor{red}{4} \times \frac{x}{4} < \textcolor{red}{4} \times 9$

$\cancel{\textcolor{red}{4}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} < 36$

$x < 36$

To solve this we draw a vertical line at $36$ on the $x$ axis.

The line will be dashed because the inequality is just "less than" and does not contain an "or equal to" clause. Therefore the solution does not contain the point $36$.

We will shade to the left of the line because this is a "less than" inequality:

graph{x < 36 [-10, 40, -12.5, 12.5]}