
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 mx + 1 > 0 (m > 0), and the proposition q: the real number x satisfies (3x - 1)(x + 2) < 0.
(I) Find the range of values for the real number x when m = 1 and p ∧ q is a true proposition;
(II) If p is a necessary but not sufficient condition for q, find the range of values for the real number m.

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