
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 the proposition p: The real number $x$ satisfies $x^2 - 5mx + 6m^2 < 0$, where $m > 0$, and the proposition q: The real number $x$ satisfies $\frac{x - 5}{x - 1} < 0$.
1. If $m = 2$, and $p \vee q$ is true, find the range of values for the real number $x$.
2. If q is a necessary but not sufficient condition for p, find the range of values for the real number $m$.

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