
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
Let the complex number $z=1+ai$ (where $a\in\mathbb{R}$, and $i$ is the imaginary unit). If $M=\{x | x>2\}$, determine the range of values for $a$ such that $|z| \in C_RM$ holds true.

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