
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 that satisfies the inequality $1 \leq |x+3| \leq 4$.
**A)** $-7 \leq x \leq -4$  
**B)** $-2 \leq x \leq 1$  
**C)** $-7 \leq x \leq -4 \text{ or } -2 \leq x \leq 1$  
**D)** $x \leq -4 \text{ or } x \geq -2$  
**E)** $-7 \leq x \leq 1$

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