
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 $U=\mathbb{R}$, let $A=\{x|x \ge 1 \text{ or } x \le -3\}$, and let $B=\{x|-4 < x < 0\}$. Find:
1. $A \cap B$ and $A \cup B$
2. The complement of $A$ with respect to $U$.

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