
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
Selected Problems on Inequalities (4-5)

Given the functions $f(x)=|2x-a|+|2x +3|$ and $g(x)=|x-1|+2$.

(I) Solve the inequality $g(x) < 5$;

(II) If for any $x\_1∈R$, there exists $x\_2∈R$ such that $f(x\_1)=g(x\_2)$ holds, find the range of values for the real number $a$.

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