
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 $P+Q = \{x | x \in P \text{ or } x \in Q \text{ and } x \notin P \cap Q\}$. If $P = \{x | x^2 - 3x - 4 \leq 0\}$ and $Q = \{x | y = \log_{2}(x^2 - 2x - 15)\}$, determine the set $P+Q$.

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