
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 proposition p: For all $x \in [1, 2]$, $x^2 - m \geq 0$, and proposition q: For all $x \in \mathbb{R}$, $x^2 + mx + 1 > 0$. If the proposition $p \land q$ is true, find the range of the real number $m$.

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