
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
In the cartesian coordinate system $(xOy)$, the parametric equation of line $l$ is given by $\begin{cases} x=t\cos α, \\ y=t\sin α \end{cases}(t$ is a parameter, $0 < α < π)$, and the polar coordinate system is established with the origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis. The polar equation of curve $C$ is $ρ= \frac{p}{1-\cos θ}(p > 0)$. Given functions $f(x)=|2x-a|+|2x+3|$, $g(x)=|x-1|+2$.

(1) Solve the inequality $|g(x)| < 5$;

(2) 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}
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