
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 $f(x)=|3x+2|-|2x+a|$,
(I) Find the range of values for the real number $a$ such that $f(x) \geqslant 0$ holds true for all $x \in \mathbb{R}$;
(II) Find the range of values for the real number $a$ such that $f(x) \leqslant 0$ has a solution in the interval $x \in [1,2]$.

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