
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 propositions p and q:

- Proposition p: The function f(x) = $\frac {1}{3}$x^3 + x^2 + mx + 1 has two distinct extreme value points.
- Proposition q: The function f(x) = x^2 - mx + 3 is a monotonically decreasing function in the interval [-1, 2].

If proposition p is true and proposition q is false, find the range of real number m.

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