
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 $f(x)=e^{x}-f(1)x^{2}+2f′(0)x-e$ (where $e$ is the base of the natural logarithm, and $f′(0)$ is the derivative of the function $f(x)$ at $x=0$),  
(Ⅰ) Find the equation of the tangent line to the function $f(x)$ at the point $(1,f(1))$;  
(Ⅱ) If $g(x)= \frac {3}{2}x^{2}-x+1$, solve the inequality $f(x)+e\geqslant g(x)$ with respect to $x$.

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