
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 $A=\{x|2x^2-5x-3\leq0\}$, the domain of the function $f(x)= \sqrt{\frac{1}{[x-(2a+1)][(a-1)-x]}}$ is set $B$.  
(I) If $A\cup B=(-1,3]$, find the value of the real number $a$;  
(II) If $A\cap B=\emptyset$, find the range of values for the real number $a$.

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