
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 $f(x)=a|x-1|-|x+1|$, where $a > 1$  
(Ⅰ) When $a=2$, find the solution set of the inequality $f(x) \geqslant 3$;  
(Ⅱ) If the area of the triangle formed by the graph of the function $y=f(x)$ and the line $y=1$ is $\frac{27}{8}$, find the value of the real number $a$.

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