
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 = \{x | 2^x > 1\}\\) and \\(B = \{x | -1 < x < 1\}\\).

\\((1)\\) Find \\(A \cup B\\) and \\((\complement_{\mathbb{R}}A) \cap B\\).

\\((2)\\) If the set \\(C = \{x | x < a\}\\) satisfies \\(B \cup C = C\\), find the range of the real number \\(a\\).

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