
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
Below is a process where Xiaolin solves the linear inequality $1-\frac{2x-2}{5}＜\frac{3-4x}{2}$. Please read carefully and complete the corresponding tasks.

解:去分母,得$10-2\left(2x-2\right) \lt 5\left(3-4x\right).\ldots $第一步  
去括号,得$10-4x+4 \lt 15-20x.\ldots $第二步  
移项,得$-4x-20x \lt 15-10-4.\ldots $第三步  
合并同类项,得$-24x \lt 1.\ldots $第四步  
系数化为$1$,得$x \gt -\frac{1}{24}$.$\ldots $第五步

任务一:  
①Above, the basis of the first step is ______;  
②An error occurs starting from step ______, the specific error in this step is ______;

任务二:  
Please write down the correct result directly;

任务三:  
In addition to correcting the above error, based on your usual study methods and experience, write down a note on the process of solving inequalities.

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