A classmate wrote the solution to the inequality |-4x + 1| > 3 as show below. Describe and correct the error.

Answer:
See below.
Step-by-step explanation:
The last step is incorrect. When we divide both sides by a negative the inequality is flipped. The answer is x < -1/2.
Also they omitted the other possibility that the expression in the vertical lines could be negative.
We also have the inequality
- 4x + 1 < - 3
-4x < -4
x > 1.