
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 $f(x)=3\sin (- \frac {1}{5}x+ \frac {3π}{10})$, find the range of values for the real number $m$ that satisfies $f( \sqrt {-m^{2}+2m+3}) > f( \sqrt {-m^{2}+4})$.

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