
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 universal set $U=\mathbb{R}$, set $A=\{x\mid 0 < 2x+4 < 10\}$, $B=\{x\mid x < -4 \text{ or } x > 2\}$, $C=\{x\mid x^{2}-4ax+3a^{2} < 0, a < 0\}$,
(1) Find $A\cup B$;
(2) If $\lnot_{U}(A\cup B)\subseteq C$, find the range of values for the real number $a$.

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