
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
Given the following four points, the point(s) located in the plane region represented by the system of inequalities $\begin{cases} & x+y-1 < 0 \\ & x-y+1 > 0 \end{cases}$ is(are) \_\_\_\_\_\_\_\_.

$①(0,2)$

$②(-2,0)$

$③(0,-2)$

$④(2,0)$

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