
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 set of values \( x \) satisfying the inequality \( |4x - 5| < 8 \) under the condition that \( x > 0 \).
A) \( x > 0 \)
B) \( 0 < x < \frac{13}{4} \)
C) \( x < \frac{13}{4} \)
D) \( -\frac{3}{4} < x < \frac{13}{4} \)

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