
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 universal set \\(U=\mathbb{R}\\), and the sets \\(A=\{x|x > 4\}\\), \\(B=\{x|-6 < x < 6\}\\):  
\\((1)\\) Find \\(A \cap B\\);  
\\((2)\\) Find \\(\complement_{\mathbb{R}}B\\);  
\\((3)\\) Define \\(A-B=\{x|x \in A, x \notin B\}\\), find \\(A-B\\) and \\(A-(A-B)\\).

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