
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 $q$, where proposition $p$ states that the solution set of the inequality $|x-1| > m$ is $\mathbb{R}$, and proposition $q$ states that the function $f(x) = \frac{2-m}{x}$ is a decreasing function on the interval $(0, +\infty)$. If the proposition "$p$ or $q$" is true, and the proposition "$p$ and $q$" is false, find the range of values for the real number $m$.

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