
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
(The full score of this question is 10 points)  
Let the universal set be $\mathbb{R}$, $A=\{x | 3 \leq x < 7\}$, $B=\{x | 2 < x < 10\}$. Find $\complement_{\mathbb{R}}(A \cup B)$ and $(\complement_{\mathbb{R}} A) \cap B$.

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