
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 $U=\mathbb{R}$, and the sets $A=\{x \in \mathbb{R} | -1 < x \leq 5, \text{ or } x=6\}$, $B=\{x \in \mathbb{R} | 2 \leq x < 5\}$. Find the complements $\complement_U A$, $\complement_U B$, and the intersection $A \cap (\complement_U B)$.

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