
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
(Liberal arts) Let the universal set $U=\mathbb{R}$, and define sets $A=\{x \mid 1<x<4\}$, $B=\{x \mid x^2-2x-3\leq0\}$,
1. The complement of $A$ in $\mathbb{R}$ is $\_\_\_\_\_\_$
2. $A \cap (\text{complement of } B \text{ in } \mathbb{R})$ is $\_\_\_\_\_\_$.

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