
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 all \( x \) such that:
\[ \frac{x^2-9}{x^2-4} > 0 \]
and \( x \neq 3 \).
A) \( x > 1 \text{ or } x < -1 \)  
B) \( x > 2 \text{ or } x < -2 \)  
C) \( x > 2 \)  
D) \( (-\infty, -3) \cup (-2, 2) \cup (3, \infty) \)  
E) \( x \text{ is any real number except } -2, 2, \text{ and } 3 \)

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