
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
Alice is choosing between two internet plans for her home office. Plan X charges no initial fee but costs 20 cents per gigabyte of data used. Plan Y has a one-time fee of $30 and then costs 10 cents per gigabyte. Determine the minimum whole number of gigabytes Alice must use for Plan Y to be the less expensive option.

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