
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: The real number x satisfies $x^2-4ax+3a^2<0$, where $a>0$; q: The real number x satisfies $$\begin{cases} \overset{x^{2}-x-6\leq 0}{x^{2}+3x-10>0}\end{cases}$$.
(I) If $a=1$, and $p \land q$ is true, find the range of real numbers x;
(II) If q is a sufficient but not necessary condition for p, find the range of real numbers a.

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