
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
Let $f(x)=mx^{2}+(1-m)x+m-2$.<br/>$(Ⅰ)$ If the inequality $f(x)+2\geqslant 0$ holds for all $x\in R$, find the range of real number $m$;<br/>$(Ⅱ)$ Given $m \lt 0$, solve the inequality $f(x) \lt m-1$ with respect to $x$.

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