
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 inequality about $x$, $(ax - (a - 2)) \cdot (x + 1) > 0$, its solution set is set $P$.
(1) Find set $P$ when $a > 0$;
(2) If ${x | -3 < x < -1} \subseteq P$, find the range of values for the real number $a$.

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