
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
The numerator of a fraction is $8x - 3$ and the denominator is $2 + 5x$, with $x$ ranging from $-2$ to $2$. Determine the values of $x$ for which the numerator is greater than the denominator.
**A)** $-\frac{2}{3} \le x \le 2$  
**B)** $\frac{5}{3} < x \le 2$  
**C)** $0 < x \le 2$  
**D)** $0 \le x \le 2$  
**E)** $-2 \le x \le 2$

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