
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 P and Q be two sets, and define the set P+Q as $\{x | x \in P\}$ or $x \in Q$ and $x \notin P \cap Q$. If $P = \{x | x^2 - 5x - 6 \leq 0\}$, and $Q = \{x | y = \log_{2}(x^2 - 2x - 15)\}$, find the set P+Q.

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