
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 inequality $$mx^{2}+nx- \frac {1}{m} < 0$$ has solutions $$\{x|x < - \frac {1}{2} \text{ or } x > 2\}$$  
(1) Find the values of $m$ and $n$;  
(2) Solve the inequality: $(2a-1-x)(x+m) > 0$, where $a$ is a real number.

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