
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
(Optional 4-5): Inequality Selection

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

(1) Solve the inequality: $|g(x)| < 2$;

(2) If for any ${x_1} \in R$, there exists ${x_2} \in R$ 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}
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