
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 $m\in \mathbb{R}$.  
$(1)$ If the inequality $mx^{2}-mx-1 \lt 0$ holds for all $x\in \mathbb{R}$, find the range of real numbers for $m$;  
$(2)$ Solve the above inequality: $mx^{2}-mx-1 \lt 0$.

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