
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 $f(x) = \begin{cases} \ln(x+1)- \frac {1}{1+x^{2}}, & x\geq0 \\ \ln(-x+1)- \frac {1}{1+x^{2}}, & x<0\end{cases}$. Find the range of values for $a$ such that $f(a-2) < f(4-a^2)$.

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