
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 $p$ be the statement: A real number $x$ satisfies $x^2 + 4ax + 3a^2 < 0$, where $a \neq 0$. Let $q$ be the statement: A real number $x$ satisfies the system
$$
\left\{\begin{matrix}
x^{2} - 6x - 72 \leq 0 \\ 
x^{2} + x - 6 > 0
\end{matrix}\right..
$$
1. If $a = -1$, and $p \lor q$ is true, determine the range of values for the real number $x$.
2. If $\neg p$ is a necessary but not sufficient condition for $\neg q$, determine the range of values for the real number $a$.

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