
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 sets $A={x|y= \sqrt {x-1}+ \sqrt {2-x}}$ and $B={y|y=2^{x},x\geqslant a}$,
(I) If $a=2$, find $(∁_{U}A)∩B$;
(II) If $(∁_{U}A)∪B=R$, find the range of values for the real number $a$.

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