
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
Determine the correct negation of the statement: "For all real numbers \(x\) except zero, \(x^2 - 4 > 0\)".
A) There exists a real number \(x\) such that \(x = 0\) and \(x^2 - 4 \leq 0\)
B) There exists a real number \(x\) such that \(x \neq 0\) and \(x^2 - 4 \leq 0\)
C) For all \(x\), \(x^2 - 4 \geq 0\) 
D) For no real number \(x\), \(x^2 - 4 > 0\)
E) For all real numbers \(x\) except zero, \(x^2 - 4 = 0\)

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