
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 that the real number $x$ satisfies $x^{2}-4ax+3a^{2} < 0$, where $a > 0$, and proposition $q$: the real number $x$ satisfies the system of inequalities $\left\{ \begin{matrix} {{x}^{2}}-x-6\leqslant 0, \\ {{x}^{2}}+2x-8 > 0. \\ \end{matrix} \right.$

(1) If $a=1$ and $p \wedge q$ is true, find the range of values for the real number $x$.
(2) If $\lnot p$ is a necessary but not sufficient condition for $\lnot q$, find the range of values for the real number $a$.

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