
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 $min\{a,b\}=\begin{cases} a, & \text{if } a\leqslant b, \\ b, & \text{if } a > b, \end{cases}$ if $f(x)=min\{x+2,10-x\}(x\geqslant 0)$, then the maximum value of $f(x)$ is $\boxed{6}$.

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