
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 $f(x)=x+a\ln x-1$, where $a\in\mathbb{R}$.

(Ⅰ) Determine the intervals of monotonicity for the function $f(x)$;

(Ⅱ) If $2f(x)+ \frac {\ln x}{x}\geqslant 0$ holds for any $x\in[1,+\infty)$, find the range of values for $a$.

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