
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine the values of \( x \) and \( y \) for which the inequality \( |y-3x| < 2x \) holds.
**A**) \( x > 0 \text{ and } x < y < 5x \)  
**B**) \( x < 0 \text{ and } 3x < y < -x \)  
**C**) \( x \neq 0 \text{ and } y = 3x \)  
**D**) \( x = 0 \text{ and } y = 0 \)

Present the answer in LaTex format: \boxed{Your answer}
user