
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 sets $A=\{x|x^2+6x+5<0\}$, $B=\{x|-1\leq x<1\}$,  
(1) Find $A\cap B$;  
(2) If the universal set $U=\{x||x|<5\}$, find $\complement_U(A\cup B)$;  
(3) If $C=\{x|x<a\}$, and $B\cap C=B$, find the range of values for $a$.

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