
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 $f(x)=\frac{1}{2}x^2+alnx-(a+1)x$, where $a\in R$. <br/>$(Ⅰ)$ Discuss the monotonicity of $f(x)$; <br/>$(Ⅱ)$ If the function $F(x)=f(x)+(a-1)x$ has two extreme points $x_{1}$ and $x_{2}$, and $F(x_{1})+F(x_{2})>-2/e-2$ always holds ($e$ is the base of the natural logarithm), find the range of real number $a$.

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