
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 propositions p and q: 

- Proposition p: The range of the function $y=\log_{0.5}(x^2+2x+a)$ is $\mathbb{R}$.
- Proposition q: The function $y=-(5-2a)^x$ is a decreasing function.

If either p or q is true, but not both, then the range of the real number $a$ is?

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