
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 $p$ represents the statement "The equation $x^2 + 2x + m = 0$ has no real roots," and $q$ represents the statement "The equation $\frac{x^2}{m-1} + y^2 = 1$ is an ellipse with foci on the x-axis." If "not $p$" and "$p$ and $q$" are both false statements simultaneously, find the range of real values for $m$.

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