
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 that the universal set is the set of real numbers R, and sets A = {x | 3 ≤ x < 6} and B = {x | 2 < x < 9}, find:
1. The complement of A ∩ B in R (denoted as ∁<sub>R</sub>(A ∩ B));
2. The union of the complement of B in R and set A ((∁<sub>R</sub>B) ∪ A).

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