
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
If the universal set is $R$, set $A=\left\{{x|{{2^x}≤2\sqrt{2}}}\right\}$, $B=\{x\left|\right.\ln \left(2-x\right) \lt 0\}$, find the expression for $(\complement _{R}A)\cap B$.

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