
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 new math teacher came to the class. He conducted a survey among the students to ask if they liked math. It turned out that 50% liked math, and 50% did not. The teacher conducted the same survey at the end of the school year. This time 70% of the students answered "yes," and -30% answered "no." Let $x \%$ of the students have given a different answer in the second survey compared to the first. Find the minimum and maximum values of $x$.

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