
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 $p$: real number $x$ satisfies $x^2-4ax+3a^2<0$, where $a\neq 0$. Proposition $q$: real number $x$ satisfies $$\begin{cases} x^{2}-x-6\leq 0 \\ x^{2}+2x-8>0 \end{cases}$$,  
(1) If $a=1$, and $p \land q$ is true, find the range of real numbers $x$;  
(2) If $p$ is a necessary but not sufficient condition for $q$, find the range of real numbers $a$.

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