
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 proposition $p$: The function $y=(a-1)x$ with respect to $x$ is an increasing function; and proposition $q$: The inequality $-x^{2}+2x-2\leqslant a$ holds for all real numbers. If the proposition "$p$ or $q$" is true, and "$p$ 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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