
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
If the solution to the system of equations in terms of $x$ and $y$ is $\left\{\begin{array}{l}2x-y=5m\\ 3x+4y=2m\end{array}\right.$, and the inequality system $\left\{\begin{array}{l}x+y≤5\\ 2x+7y＜18\end{array}\right.$ holds, find the range of values for $m$.

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