
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
Find the set of \(x\)-values satisfying the inequality \( \left|\frac{x^2 + 2x - 3}{4}\right| \leq 3 \).
**A** \( -5 < x < 3 \)  
**B** \( -5 \leq x < 3 \)  
**C** \( x < -5 \text{ or } x > 3 \)  
**D** \( -5 \leq x \leq 3 \)  
**E** \( x > 3 \)

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