
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/>$(1)\left\{\begin{array}{l}{2x≥x-1①}\\{4x+10＞x+1②}\end{array}\right.$;<br/>$(2)\left\{\begin{array}{l}{2x-7＜5-2x}\\{\frac{x}{4}-1≤\frac{x-1}{2}}\end{array}\right.$.

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