
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 \( 4x + 5 \) and the denominator is \( 10 - 3x \). \( x \) can take any value between \( -1 \) and \( 3 \), both included. Find the values of \( x \) for which the numerator exceeds the denominator.
**A)** \( \frac{5}{7} < x \leq 3 \) \\
**B)** \( \frac{5}{7} \leq x \leq 3 \) \\
**C)** \( 0 < x \leq 3 \) \\
**D)** \( 0 \leq x \leq 3 \) \\
**E)** \( -1 \leq x \leq 3 \)

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