
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 non-empty sets of real numbers, and define the set $M=\{x|x=a+b, a\in P, b\in Q\}$. Given $P=\{0, 2, 5\}$ and $Q=\{1, 2, 6\}$, calculate the number of elements in the set $M$.

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