
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 \\(a\\) be a real constant, and \\(y=f(x)\\) is an odd function defined on \\(R\\). When \\(x < 0\\), \\(f(x)=9x+ \dfrac{{a}^{2}}{x}+7 \\). If \\(f(x) \geqslant a+1\\) holds for all \\(x \geqslant 0\\), then the range of values for \\(a\\) is \_\_\_\_\_\_\_\_.

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