
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 $f(x)=\ln x+\dfrac{a}{2}{{x}^{2}}-(a+1)x.$

(1) If the equation of the tangent line to the curve $y=f(x)$ at $x=1$ is $y=-2$, find the monotonic interval of $f(x)$;

(2) If $\dfrac{f(x)}{x} < \dfrac{{f}{{'}}(x)}{2}$ holds true for all $x > 0$, find the range of values for the real number $a$.

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