
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 power function $f(x) = x^{m-3}$ ($m \in \mathbb{N}^+$) is symmetric about the y-axis and is a decreasing function on $(0, +\infty)$, find the range of $a$ that satisfies $$(a+1)^{- \frac {m}{99}} < (3-2a)^{- \frac {m}{99}}.$$

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