WACE Mathematics Specialist

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Sample original practice question

Try a WACE Mathematics Specialist question

The negation of ∀ real x, x² > 0 is:

  • ∀ real x, x² ≥ 0
  • ∀ real x, x² ≤ 0
  • ∃ real x, x² > 0
  • ∃ real x, x² ≤ 0
Show the worked answer

Answer: D

Negation exchanges every for exists and negates > to ≤. Zero supplies a witness.

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