
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
Let the universal set be $U = \mathbb{R}$, set $A = \{x | 1 \leq x < 4\}$, $B = \{x | 2a \leq x < 3-a\}$.
1. If $a = -2$, find $B \cap A$, $B \cap \complement_{U}A$.
2. If $A \cup B = A$, find the range of real number $a$.

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