
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 function $y=\lg ( \frac {1}{x}-1)$, its domain is $A$. If the inequality $\frac {9x}{2-2x}-m^{2}x-2mx > -2$ always holds for any $x\in A$, then the range of the positive real number $m$ is _______.

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