
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 $a\in\mathbb{R}$, let proposition $p$: the distance between two points in space $B(1,a,2)$ and $C(a+1,a+3,0)$, $|BC| > \sqrt{17}$; proposition $q$: the function $f(x)=x^{2}-2ax-2$ is monotonic in the interval $(0,3)$.  
(Ⅰ) If proposition $p$ is true, find the range of the real number $a$;  
(Ⅱ) If both the proposition "$\neg q$" and "$p \land q$" are false, find the range of the real number $a$.

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