
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 non-empty set $A={x|2a+1≤x≤3a-5}$ and $B={x|3≤x≤22}$,
(I) When $a=10$, find $A∩B$ and $A∪B$;
(II) Find the range of values for $a$ that would make $A⊆(A∩B)$ true.

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