
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
Let the solution set of the inequality about $x$, $$1- \frac {a+1}{x+1}<0$$ be $P$, and the solution set of the inequality $|x+2|<3$ be $Q$.  
(1) If $a=3$, find $P$;  
(2) If $P \cup Q = Q$, find the range of positive values for $a$.

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