
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 $a > 0$ and $a \neq 1$, let proposition $p$ be: the function $y = \log_a(x + 1)$ is monotonically decreasing in the interval $(0, +\infty)$; and proposition $q$ be: the curve $y = x^2 + (2a - 3)x + 1$ intersects the $x$-axis at two distinct points. If $p$ or $q$ is true and $p$ and $q$ are both false, find the range of values for $a$.

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