
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 set of $x$-values satisfying the inequality $3 \leq |x+2| \leq 7$ is:
**A)** $-5 \leq x \leq 1$
**B)** $1 \leq x \leq 5 \text{ or } -9 \leq x \leq -5$
**C)** $x \leq -5 \text{ or } x \geq 1$
**D)** $-5 \leq x \leq 9$
**E)** $-9 \leq x \leq 5$

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