
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 set \\(A\\) be the domain of the function \\(y=\lg \frac {1+x}{2-x}\\), and set \\(B\\) be the solution set of the inequality \\((ax-1)(x+2)\geqslant 0(a > 0)\\).  
\\((1)\\) If \\(a=1\\), find \\(A\cap B\\);  
\\((2)\\) If \\(B\subseteq \complement_{\mathbb{R}}A\\), find the range of the real number \\(a\\).

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