
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 inequality $ax^2 - bx + 3 > 0$ has the solution set $(-3, 1)$,  
(Ⅰ) Find the values of the real numbers $a$ and $b$;  
(Ⅱ) Solve the inequality: $\log_{b}(2x-1) \leq \frac{1}{2^{a}}$.

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