# How do you graph and solve | 5x - 1 | <= 14?

Mar 3, 2018

$\text{See the Explanation}$

#### Explanation:

|5x−1|≤14

This means the distance from 5x - 1 to zero must be less than or equal to 14.
It can be rewritten as -14 ≤ 5x−1 ≤14

So, draw $y = - 14$ and $y = 14$, and $5 x - 1$.
The answer is where the line 5x - 1 is in between -14 and 14 like the plot below:
https://www.desmos.com/calculator/psnq5dutum

And here we find the answer without graphing:
-14 ≤ 5x−1 ≤14
-14 + 1≤ 5x ≤14+1
-13≤ 5x ≤15
-13/5≤ x ≤15/5
-2.6≤ x ≤3

The answer is $\left[- 2.6 , 3\right]$