
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 $f(x)=x^{2}-2x-8$ and $g(x)=2x^{2}-4x-16$, 

(1) find the solution set of the inequality $g(x) < 0$;

(2) if for all $x > 2$, $f(x) \geqslant (m+2)x-m-15$ holds, find the range of the real number $m$.

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