
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
Proposition \\(p\\): The inequality \\({{x}^{2}}+2ax+4 > 0\\) holds for all \\(x \in \mathbb{R}\\), Proposition \\(q\\): The equation \\({{x}^{2}}-x+a=0\\) has real roots. If either \\(p\\) or \\(q\\) is true, but not both, find the range of the real number \\(a\\).

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