
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\\): The equation \\( \dfrac {x^{2}}{a+6}+ \dfrac {y^{2}}{a-7}=1\\) represents a hyperbola with foci on the coordinate axes, and proposition \\(q\\): There exists \\(x \in \mathbb{R}\\), such that \\(x^{2}-4x+a < 0.\\) If the proposition “\\(p\\) or \\(\neg q\\)” is true, find the range of the real number \\(a\\).

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