
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
Let \( x \) be a real number that satisfies the following conditions: \( \frac{1}{x} < 4 \) and \( \frac{1}{x} > -2 \). Determine the range of possible values for \( x \).
A) \( x > \frac{1}{4} \)
B) \( x < -\frac{1}{2} \)
C) \( x > \frac{1}{2} \)
D) \( x < -\frac{1}{3} \)
E) \( x < -\frac{1}{2} \text{ or } x > \frac{1}{4} \)

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