
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 $p$: The function $f(x) = x^3 - ax - 1$ is monotonically decreasing in the interval $[-1, 1]$; and the proposition $q$: The domain of the function $y = \ln(x^2 + ax + 1)$ is $R$. If either proposition $p$ or $q$ is true and both $p$ and $q$ are false, then the range of values for $a$ is

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