
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 large supermarket purchases 200 kilograms of fruit from the production base at a price of $5$ dollars per kilogram. During transportation, there is a 5% loss in quality. The supermarket plans to sell this batch of fruit with at least a 20% profit (excluding other expenses). If the selling price of this batch of fruit needs to be increased by $x\%$ based on the purchase price, then the inequality satisfied by $x$ is ______.

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