
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
Let proposition $p$: A real number $x$ satisfies ${x}^{2}-4ax+3{a}^{2} < 0$, where $a < 0$; proposition $q$: A real number $x$ satisfies ${x}^{2}+2x-8 > 0$ and $\neg p$ is a necessary but not sufficient condition for $\neg q$. Find the range of the real number $a$.

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