
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 $A=\{x|x < -2\text{ or }x > 0\}$ and $B=\{x|(\frac{1}{3})^{x}\geqslant 3\}$,

(I) Find $A\cup B$

(II) If set $C=\{x|a < x\leqslant a+1\}$, and $A\cap C=C$, find the range of values for $a$.

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