
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
Enclose several numbers with curly brackets, separated by commas, such as: $\{1, 2, 3\}$, $\{2, 7, 8, 19\}$. We call this a set, and the numbers in it are called the elements of the set. If a set satisfies the condition: when a real number $a$ is an element of the set, the real number $8-a$ must also be an element of this set, we call such a set a good set.  
(1) Please determine whether the sets $\{1, 2\}$, $\{1, 4, 7\}$ are good sets;  
(2) Please provide two examples of good sets that meet the condition.

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