
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 curve y=x<sup>2</sup>+(2m-3)x+1 intersects the x-axis at two different points; proposition q: $$\frac {x^{2}}{2m}+ \frac {y^{2}}{3}=1$$ represents an ellipse with foci on the x-axis. If "p and q" is a false proposition, and "p or q" is a true proposition, find the range of m.

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