
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
Let proposition p be: $$\frac {m-2}{m-3} \leq \frac {2}{3}$$; proposition q be: the solution set of the inequality about x, $x^2-4x+m^2 \leq 0$, is empty. If "p∨q" is true and "p∧q" is false, find the range of the real number m.

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