
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
If $y$ is a positive number satisfying the inequality $\log_3{y} \le 3 - \log_3{9y}$, then find $y$.
A) \(0 < y \le \sqrt{3}\)
B) \(0 < y \le 3\)
C) \(y \ge \sqrt{3}\)
D) \(y > 3\)

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