
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
(1) The inequality $(m-2)x^2+2(m-2)x-4<0$ holds for all real numbers $x$. Find the range of the real number $m$.  
(2) When $m \in [-1, 1]$, the inequality $2x^2+mx-3<0$ always holds. Find the range of the real number $x$.

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