
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 $a\in\mathbb{R}$, let proposition $p$ be: "$\forall x\in [1,2], x^2-a\geq0$", and let proposition $q$ be: "$\exists x\in\mathbb{R}, x^2+2ax+2-a=0$".

(Ⅰ) If proposition $p$ is true, find the range of real numbers $a$.
(Ⅱ) If the proposition "$p \land q$" is false, find the range of real numbers $a$.

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