
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
If $x$ is such that $\frac{1}{x}<3$ and $\frac{1}{x}>-4$, and additionally $x \neq 0$, find the range of possible values for $x$.
A) $x \in \left(-\infty, -\frac{1}{4}\right)$
B) $x > \frac{1}{3}$
C) $x \in \left(\frac{1}{4}, \infty\right)$
D) $x \in \left(\frac{1}{3}, \infty\right) \cup \left(-\infty, -\frac{1}{4}\right)$
E) $x \in \left(\frac{1}{2}, \infty\right) \cup \left(-\infty, -\frac{1}{3}\right)$

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