
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 solution set for the inequality: $4x^2 - 12x + 5 < 0$.
A) \( x < \frac{1}{2} \quad \text{or} \quad x > \frac{5}{2} \)
B) \( x \in \left(\frac{1}{2}, \frac{5}{2}\right) \)
C) \( x \in \left(-\infty, \frac{1}{2} \right] \cup \left[ \frac{5}{2}, \infty\right) \)
D) \( x \in \left(-\infty, \frac{1}{2} \right) \cup \left( \frac{5}{2}, \infty\right) \)

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