
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 $f(x)=|x|-|2x-1|$, let the solution set of $f(x) > -1$ be $M$.  
(Ⅰ) Find $M$;  
(Ⅱ) Given $a \in M$, compare the size of $a^{2}-a+1$ and $\dfrac {1}{a}$.

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