
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: The domain of the function $f(x) = \log(ax^2 - 4x + a)$ is $\mathbb{R}$; proposition q: The inequality $2x^2 + x > 2 + ax$ is always true for $x \in (-\infty, -1)$. If the proposition “$p \lor q$” is true, and the proposition “$p \land q$” is false, find the range of the real number $a$.

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