
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 $f\left( x \right)=\left| 2x-a \right|+\left| x-{1} \right|$, where $a\in {R}$.

(I) Find the range of values for the real number $a$ such that the inequality $f(x)\leqslant 2-\left| x-1 \right|$ has a solution;

(II) When $a < 2$, the minimum value of the function $f(x)$ is $3$, find the value of the real number $a$.

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