
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 that the function $f(x)$, whose domain is $\mathbb{R}$, is decreasing on the interval $(8,+\infty)$, and that the function $y=f(x+8)$ is an even function, evaluate the truthfulness of the following statements:
① $f(6) > f(7)$；② $f(6) > f(9)$；③ $f(7) > f(9)$；④ $f(7) > f(10)$．

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