
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 following four conclusions:  
(1) The center of symmetry of the function $$f(x)= \frac {x-1}{2x+1}$$ is $$(- \frac {1}{2},- \frac {1}{2})$$;  
(2) If the equation $$x- \frac {1}{x}+k=0$$ related to x has no real roots in x∈(0,1), then the range of values for k is k≥2;  
(3) Given that point P(a, b) and point Q(1, 0) are on opposite sides of the line 2x-3y+1=0, when a>0 and a≠1, b>0, the range of values for $$\frac {b}{a-1}$$ is $$(-\infty ,- \frac {1}{3})\cup ( \frac {2}{3},+\infty )$$;  
Among these conclusions, the correct one is: __________.

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