
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 propositions p: "The curve represented by the equation $$\frac{x^2}{m-1} + \frac{y^2}{3-m} = 1$$ is an ellipse with foci on the y-axis," and q: "The domain of the function $f(x) = \lg(x^2 - mx + \frac{9}{16})$ is $\mathbb{R}$":
1. If proposition p is true, find the range of values for the real number $m$.
2. If the compound proposition $p \land q$ is true, find the range of values for the real number $m$.

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