
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 $A=\{x||x-1| < 2\}$, $B=\{x|x^{2}+ax-6 < 0\}$, and $C=\{x|x^{2}-2x-15 < 0\}$.

(1) If $A\cup B=B$, find the range of values for $a$.

(2) Does there exist a value of $a$ such that $A\cup B=B\cap C$? If so, find the value of $a$; if not, explain why.

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