
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 be $\mathbb{R}$, $A=\{x|2\leq x<5\}$, $B=\{x|x>4\}$. Find:  
① $A\cap B$  
② $A\cup B$  
③ $A\cap (\complement_{\mathbb{R}}B)$  
④ $(\complement_{\mathbb{R}}A)\cap (\complement_{\mathbb{R}}B)$

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