# How do you graph the inequality 7x+1<15?

$x < 2$

To graph, we place a hollow dot around 2 (to indicate that it is not a part of the solution) and a ray heading off to the left (towards 0 and negative numbers).

#### Explanation:

$7 x + 1 < 15$

$7 x + 1 \textcolor{red}{- 1} < 15 \textcolor{red}{- 1}$

$7 x < 14$

$\frac{7 x}{\textcolor{red}{7}} < \frac{14}{\textcolor{red}{7}}$

$x < 2$

To graph, we place a hollow dot around 2 (to indicate that it is not a part of the solution) and a ray heading off to the left (towards 0 and negative numbers).