# How do you graph and solve  | 5 x - 1 | <16?

Feb 27, 2016

Solved

#### Explanation:

Let us start by assuming $y = 5 x - 1$.
Now the equation becomes

$| y | < 16$

This means $y$ can take a value between $\left(- 16 , 16\right)$. The points $- 16 \mathmr{and} 16$ are excluded. Corresponding range in $x$ can be independently found by using the relationship between $y$ and $x$.
The range of $x$ is $\left(- 3 , 3.6\right)$.