
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
①$1$, ②$-\frac{3}{5}$, ③$3.2$, ④$0$, ⑤$\frac{1}{3}$, ⑥$-6.5$, ⑦$108$, ⑧$-4$, ⑨$-6\frac{4}{7}$.  
$(1)$ Set of integers $\{ \_\_\_\_\_\_\ldots \}$;  
$(2)$ Set of negative fractions $\{ \_\_\_\_\_\_\ldots \}$;  
$(3)$ Set of non-negative integers $\{ \_\_\_\_\_\_\ldots \}$.

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