
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
A certain distributor sells a batch of phone watches. In the first month, 60 pieces were sold at a price of $600 per piece. In the second month, the distributor reduced the price and sold all the phone watches at $500 per piece. The total sales amount for these two months is no less than $86000. Determine the inequality that the total quantity x of phone watches should satisfy.

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