
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 and determine the set of values for $x$ such that $3x^2 - 5x - 2 < 0$.
A) $x \in \left(-\frac{1}{3}, 2\right)$   
B) $x \in \left(-\infty, -\frac{1}{3}\right) \cup (2, \infty)$   
C) $x > 2$  
D) $x < -\frac{1}{3}$

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