
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
(Optional Selective Course 4-5 Inequality Lecture)

Given $f(x)=|2x-a|-|x+1| (a\in R)$.

(I) Solve the inequality $f(x) > 2$ when $a=1$.

(II) If the inequality $f(x)+|x+1|+x > a^{2}-\frac{1}{2}$ holds for all $x\in R$, find the range of values for the real number $a$.

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