
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
Suppose we have two propositions: 

Proposition p: The function $y=(a-1)x$ is increasing.  
Proposition q: The inequality $-x^2+2x-2\leq a$ holds true for all real numbers $x$.

If the compound proposition "p or q" is true, while "p and q" is false, find the range of values for the real number $a$.

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