
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 universal set \\(U=\mathbb{R}\\), and the sets \\(A=\{ x|-1\leqslant x < 3 \}\\), \\(B=\{ x|2x-4\geqslant x-2 \}\\)

\\((1)\\) Find \\({{C}_{U}}(A\cap B)\\);

\\((2)\\) If the set \\(C=\{x|2x+a > 0\}\\) satisfies \\(B\cup C=C\\), find the range of the real number \\(a\\).

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