
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 $a\neq 1$, consider the propositions $p$: the function $y=\log_a x$ is monotonically decreasing in the interval $(0, +\infty)$, and $q$: the curve $y=x^2+(2a-3)x+1$ intersects the x-axis at two distinct points.
(Ⅰ) If both propositions $p$ and $q$ are true, determine the range of values for $a$.
(Ⅱ) If the proposition "$p \land q$" is false and "$p \lor q$" is true, find the range of values for $a$.

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