
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
Tourists from the USA, when visiting Europe, often use an approximate formula to convert temperature from degrees Celsius \(C\) to degrees Fahrenheit \(F\): \(F = 2C + 30\). Indicate the range of temperatures (in degrees Celsius) at which the deviation of the temperature in degrees Fahrenheit, obtained using the given approximate formula, from the temperature obtained using the exact formula, does not exceed 5%. To obtain the exact formula, it should be noted that water freezes at \(32 F\) and boils at \(212 F\).

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