
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 = R, A = [-1, 3], and B = [-2, 2).
1. Find A ∩ B and A ∪ B.
2. Find the complement of A ∩ B and A ∪ B with respect to U (denoted as ∁<sub>U</sub>).

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