
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
① The distance between the points representing 2 and -5 on the number line is     .  
The distance between the points representing -2 and -5 on the number line is     .  
The distance between the points representing 1 and -3 on the number line is     .  
② We find that: the distance between two points A and B representing x and -1 on the number line is     . If $|AB| = 2$, then x is     .  
③ Did you know? When the algebraic expression $|x+1| + |x-2|$ takes its minimum value, the corresponding range of x is     . (Consider comprehensively!)

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