
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 $a > 0$, consider the following statements:
- (p) The function $y = a^x$ is monotonically decreasing on $\mathbb{R}$.
- (q) The equation $\frac{x^2}{a-2} + \frac{y^2}{a-0.5} = 1$ represents a hyperbola.

If "p or q" is true and "p and q" is false, find the range of values for $a$.

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