
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
Given the proposition p: "There exists $x \in [1, 2]$ such that $x^2 - a < 0$ holds." If $\neg p$ is a true proposition, then the range of the real number $a$ is $\boxed{a \leq 1}$.

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