
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 solution set of \\(\left\{ x\left| 2 < x < 3 \right. \right\}\\) is for \\(x^{2}+ax+b < 0\\), determine the solution set for \\(bx^{2}+ax+1 > 0\\).

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