
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
For the inequality about $x$, $x^2 - ax + b < 0$, the solution set is $\{x|2 < x < 3\}$.

(Ⅰ) Find $a+b$;  
(Ⅱ) If the solution set of the inequality $-x^2 + bx + c > 0$ is empty, find the range of values for $c$.

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