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ITMC 2018 Grade 10 National Preliminary set01 Question 8

ITMC · ITMC 2018 Grade 10 National Preliminary set01

Question 8

Find the negation of $\forall x\lt 0\ \exists y\lt 0\ [x\lt y\to x^2>y^2]$.
  1. $\exists x\lt 0\ \forall y\lt 0\ [x\ge y\to x^2\le y^2]$
  2. $\exists x\lt 0\ \forall y\lt 0\ [x\lt y\land x^2\le y^2]$
  3. $\exists x\ge0\ \forall y\ge0\ [x\ge y\to x^2\le y^2]$
  4. $\exists x\ge0\ \forall y\ge0\ [x\lt y\land x^2\le y^2]$
  5. $\exists x\ge0\ \forall y\ge0\ [x\ge y\lor x^2>y^2]$