
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 that $a$ and $b$ are any non-zero real numbers.
(1) Find the minimum value of $\frac{|2a+b|+|2a-b|}{|a|}$;
(2) If the inequality $|2a+b|+|2a-b|\geq|a|(|2+x|+|2-x|)$ always holds, find the range of values of the real number $x$.

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