
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 \\(a \in \mathbb{R}\\), and consider the proposition \\(q\\): For all \\(x \in \mathbb{R}\\), \\(x^{2}+ax+1 > 0\\), and the proposition \\(p\\): There exists an \\(x \in [1,2]\\) such that \\((a-1)x-1 > 0\\).

\\((1)\\) If the proposition \\(p \land q\\) is true, find the range of \\(a\\).

\\((2)\\) If \\((\lnot p) \land q\\) is false and \\((\lnot p) \lor q\\) is true, find the range of \\(a\\).

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