
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 that the equation $p: x^2 + mx + 1 = 0$ has two distinct negative roots, and the equation $q: 4x^2 + 4(m - 2)x + 1 = 0$ ($m \in \mathbb{R}$) has no real roots, find the range of values for $m$ that makes both $p$ and $q$ true.

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