
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
Solve the inequality $\frac{x^2-9}{x^2-4}>0$ and find the complete set of $x$-values.
A) $x < -3 \text{ or } x > 3$
B) $x \leq -3 \text{ or } x \geq 3$
C) $-3 < x < 3$
D) $x < -2 \text{ or } x > 2$
E) $x > 3$

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