
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 $U = \mathbb{R}$, the set $A = \{x | x^2 - 3x - 4 \geq 0\}$, and $B = \{x | x - 5 < 0\}$. Determine the intersections and unions of sets A and B, $A \cap B$ and $A \cup B$, as well as the complement of A, $\complement_U A$.

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