
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
In the complex plane, the necessary and sufficient condition for the point corresponding to the complex number $z = (|a| - 1) + (a + 1)i$ ($a \in \mathbb{R}$, $i$ is the imaginary unit) to be in the fourth quadrant is $\boxed{a < -1}$.

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