
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 the set \\(A=\\{x| \dfrac{1}{32}\leqslant {2}^{-x}\leqslant 4\\}\\), \\(B=\\{x｜x^{2}+2mx-3m^{2} < 0\\}\\) where \\(m > 0\\).

\\((1)\\) If \\(m=2\\), find \\(A∩B\\);

\\((2)\\) If \\(A⊇B\\), find the range of the real number \\(m\\).

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