
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
Elective 4-5: Special Topics on Inequalities

Given the function $f(x)=|x+4|-|x-1| (m \in \mathbb{R})$, $g(x)=|2x-1|+3$.

(1) Solve the inequality $f(x) > 3$;

(2) If the inequality $f(x)+1 < 4^{u}-5 \times 2^{u}$ has solutions, find the range of values for the real number $a$.

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