
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
Given the function $$f(x)= \begin{cases} \left.\begin{matrix}x^{2}-4x+6, & x\leq0 \\ -x+6, & x>0\end{matrix}\right.\end{cases}$$, if $f(x) < f(-1)$, then the range of real numbers $x$ is \_\_\_\_\_\_.

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