
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 intervals of $x$ for which the expression $(x-2)(x+2)(x-3)$ is negative.
A) $(-\infty, -2) \cup (2, 3)$
B) $(2, 3)$
C) $(-\infty, -2)$
D) $(-2, 2) \cup (3, \infty)$

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