
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 set $U=\mathbb{R}$, $A=\{x|-1\leqslant x < 3\}$, $B=\{x|2x-4\geqslant x-2\}$.
(1) Find $A\cap B$ and $(U\setminus A)\cup B$;
(2) If set $C=\{x|2x+a > 0\}$, and $B\cup C=C$, find the range of real number $a$.

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