
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
Given the universal set U = {x ∈ Z | 0 ≤ x ≤ 10}, and sets A = {1, 2, 4, 5, 9}, B = {4, 6, 7, 8, 10}, and C = {3, 5, 7}. Find:
1. A ∪ B
2. (A ∩ B) ∩ C
3. (∁<sub>U</sub>A) ∩ (∁<sub>U</sub>B)

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