
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
To enrich students' extracurricular activities, the school plans to purchase a total of 120 sets of chess and Go. It is known that the unit price of chess is $25$ yuan per set, and the unit price of Go is $30$ yuan per set. The quantity of Go purchased should be at least twice the quantity of chess, and the total cost should not exceed $3500$ yuan. Let $m$ be the quantity of Go purchased. Write down the system of inequalities in terms of $m$ and find the range of values for $m$.

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