
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: "For all \\(x \in [1,2]\\), \\(x^2 - a \geqslant 0\\)", and proposition \\(q\\) be: "There exists \\(x \in \mathbb{R}\\) such that \\(x^2 + 2ax + 2 - a = 0\\)".
- (I) If proposition \\(p\\) is true, find the range of the real number \\(a\\).
- (II) If the proposition "\\(p \land q\\)" is false, find the range of the real number \\(a\\).

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