
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 sets $A=\{x|x^2+(a-1)x-a>0\}$, $B=\{x|(x+a)(x+b)>0\}$, and $M=\{x|x^2-2x-3\leq0\}$, with the universal set $I=\mathbb{R}$.  
(1) If $a<b$ and $C_IB=M$, find the values of the real numbers $a$ and $b$;  
(2) If $a>b>-1$, find $A\cap B$.

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