
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 functions $f(x)=|x-2|+a$ and $g(x)=|x+4|$, where $a\in\mathbb{R}$.
- (I) Solve the inequality $f(x) < g(x)+a$;
- (II) For any $x\in\mathbb{R}$, if $f(x)+g(x) > a^{2}$ always holds, find the range of $a$.

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