
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 set $A=\{x|3\leq x<10\}$, and the set $B=\{x|2x-8\geq 0\}$.
1. Find $A\cup B$ and $A\cap B$.
2. Find $\complement_R (A\cap B) \cap (A\cup B)$.

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