
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
Solve the system of inequalities:<br/>$(1)\left\{\begin{array}{l}2x＞1-x①\\ x+2＜4x-1②\end{array}\right.$;<br/>$(2)\left\{\begin{array}{l}\frac{2}{3}x+5＞1-x①\\ x-1≤\frac{3}{4}x-\frac{1}{8}②\end{array}\right.$.

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