
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
New definition: For a real number $x$, we define $\left[x\right]$ as the largest integer not greater than $x$. For example, $\left[2.3\right]=2$, $\left[3\right]=3$, $\left[-2.5\right]=-3$. If $\left[x-1\right]=-2$, then the range of real number $x$ is ______.

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