
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 $q$: $x\in(0,+\infty)$, $x^{2}-mx+4\geqslant 0$ always holds. If $p\lor q$ is a true proposition, and $p\land q$ is also a true proposition, find the range of values for $m$.

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