
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
Suppose Elite T-Shirt Company charges a \$30 set-up fee and \$8 for each shirt printed. Omega T-Shirt Company has a \$10 set-up fee, but charges \$12 per shirt. What is the minimum number of shirts for which a customer saves money by using Elite?

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