
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 equation $x^2 - 2mx + 7m - 10 = 0$ has no solution, and proposition $q$: $x \in (0, +\infty)$, $x^2-mx+4 \geq 0$ holds true for all $x$. If $p \vee q$ is true, and $p \wedge q$ is also true, find the range of values for $m$.

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