
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 of real numbers $R$, set $A=\{x|1 < x < 3\}$, set $B=\{x|\frac{1}{\sqrt{x-2}}\}$, find the intersection of set $A$ and the complement of set $B$ with respect to $R$.

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