
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 set A = {x | a - 1 ≤ x ≤ 2a + 1}, set B = {x | x < 0 or x > 5}, and the universal set U = R.
1. If a = 5, find the complement of A in U (A⁰).
2. If a = 2, find the union of A and B (A ∪ B).

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