
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
If the number of elements in the set $A=\left\{x|\left(kx-k^{2}-6\right)\left(x-4\right) > 0, x \in \mathbb{Z}\right\}$ is to be minimized, then the range of the real number $k$ is

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