
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 be $\mathbb{R}$, and let the sets be defined as $A=\{x|1\leq3^{x}<9\}$, $B=\{x|\log_{2}x\geq0\}$.

(Ⅰ) Find $A\cap B$

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

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