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

(1) When $a=-2$, find the solution set for the inequality $f(x) < g(x)$.

(2) If $a > -1$, and $f(x)\leqslant g(x)$ when $x\in \left[ -\frac{a}{2}, \frac{1}{2} \right]$, find the range of possible values for $a$.

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