
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 system of inequalities \\( \begin{cases} \overset{x^{2}-x-2 > 0}{2x^{2}+(2k+7)x+7k < 0} \end{cases}\\), if its only integer solutions are \\(-3\\) and \\(-2\\), find the range of values for \\(k\\).

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