
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 \( x \)-values satisfying the inequality \( 3 \leq |x + 2| \leq 7 \).
**A)** \( 1 \leq x \leq 5 \) or \( -5 \leq x \leq -1 \)
**B)** \( -5 \leq x \leq 1 \)
**C)** \( 1 \leq x \leq 5 \) or \( -9 \leq x \leq -5 \)
**D)** \( -9 \leq x \leq 5 \)
**E)** \( -7 \leq x \leq 3 \)

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