
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 conic section E: $$\frac {x^{2}}{2}+ \frac {y^{2}}{k} = 1$$. Let proposition p denote the statement: "The equation E represents an ellipse with foci on the x-axis"; let proposition q denote the statement: "The eccentricity of the conic section E, $e$, is in the range $(\sqrt{2}, \sqrt{3})$." If the proposition ¬p∧q (the negation of p and q) is true, determine the range of the real number $k$.

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