
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 function $f(x)= \frac {2(2-a)}{x}+(a+2)\ln x-ax-2$.  
(I) When $0 < a < 2$, find the intervals of monotonicity for the function $f(x)$.  
(II) Given $a=1$, the function $g(x)=x^{2}-4bx- \frac {1}{4}$. If for any $x_{1}\in(0,e]$, there exists $x_{2}\in(0,2]$ such that $f(x_{1})\geqslant g(x_{2})$ holds, find the range of the real number $b$.

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