
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
Define the operation: $x \cdot y = \begin{cases} x, & \text{if } x \leq y \\ y, & \text{if } x > y \end{cases}$, if $|m+1| \cdot |m| = |m+1|$, then the range of real number $m$ is ______.

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