
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=\\{x|-2 < x < 4\\}\\) and set \\(B=\\{x|2m-1 < x < m+3\\}\\).

\\((1)\\) If the universal set \\(U=\\{x|x\leqslant 4\\}\\) and \\(m=-1\\), find \\((∁_{U}A)∪B\\) and \\(A∩(∁_{U}B)\\).

\\((2)\\) If \\(A∪B=A\\), find the range of real numbers \\(m\\).

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