
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 $f(x)=\begin{cases} & {(\dfrac{1}{10})^{x}},x\leqslant 10 \\ & -\log_{10} (x+2),x > 10 \end{cases}$, find the range of the real number $m$ such that $f(8-m^{2}) < f(2m)$.

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