
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
The solution set of the inequality system $\left\{\begin{array}{l}3x-2＜2(x+1)\\ \frac{{x-1}}{2}＞1\end{array}\right.$ is given by the intersection of the solution sets of the two inequalities $3x-2 < 2(x+1)$ and $\frac{x-1}{2} > 1$.

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