
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
The function $y=f(x)$ is an increasing function defined on $\mathbb{R}$. The graph of $y=f(x)$ passes through point A$(0, -1)$ and point B. It is determined that the solution set of the inequality $|f(x+1)|<1$ is exactly $\{x|-1<x<2\}$. The coordinates of point B are \_\_\_\_\_\_.

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