
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 $E$: $\frac{x^{2}}{2} + \frac{y^{2}}{k} = 1$. Proposition $p$: Equation $E$ represents an ellipse with foci on the $x$-axis; Proposition $q$: The eccentricity $e$ of the conic section $E$ is in the interval $(\sqrt{2}, \sqrt{3})$, find the range of the real number $k$ if the proposition $¬p ∧ q$ is true.

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