
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 proposition $p$: The real number $x$ satisfies $x^{2}-4ax+3a^{2} < 0$, where $a < 0$; proposition $q$: The real number $x$ satisfies $x^{2}-x-6\leqslant 0$. If $\neg p$ 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}
user