
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 $3 < |x+2| \leq 6$.
A) $-5 \leq x < -1$ or $2 < x \leq 5$
B) $0 < x \leq 3$ or $-7 \leq x < -4$
C) $-8 \leq x < -5$ or $1 < x \leq 4$
D) $-3 \leq x \leq 6$

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