
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 $y$ and $x$ for which the inequality $(y - x)^2 < x^2$ holds true, given that $x \neq 0$.
**A)** $y > 0 \text{ and } y > 2x$  
**B)** $y < 0 \text{ or } y < 2x$  
**C)** $y > 0 \text{ and } y < 2x$  
**D)** $y > 0 \text{ or } y > 2x$

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