
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 two propositions: (1) The solution set of the inequality $|x|+|x-1|>m$ is $\mathbb{R}$; (2) The function $f(x) = -(7-3m)^x$ defined on $\mathbb{R}$ is a decreasing function; if both propositions are true, then the range of values for $m$ is.

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