
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 solution set of the inequality $|x|+|x-1|>m$ is $\mathbb{R}$, and proposition q: $f(x) = -(5-2m)^x$ is a decreasing function. If either p or q is true, and both p and q are false, then the range of the real number $m$ is.

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