
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
Given the universal set $U = \mathbb{R}$, sets $A = \{x \mid -4 \leqslant x < 2\}$, $B = \{x \mid -1 < x \leqslant 3\}$, $P = \{x \mid x \leqslant 0 \text{ or } x \geqslant \frac{5}{2}\}$. Find:

1. $A \cap B$;
2. $(\complement_{U}B) \cup P$;
3. $(A \cap B) \cap (\complement_{U}P)$.

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