
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 proposition p be: The domain of the function $f(x) = \log(ax^2 - 2x + 1)$ is $\mathbb{R}$. Let proposition q be: For $x \in \left[\frac{1}{2}, 2\right]$, the inequality $x + \frac{1}{x} > a$ always holds. If the compound proposition "p ∧ q" is true, then the range of values for the real number $a$ is __________.

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