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Question

# Write the negation for the statement given below.$\forall$ nonzero real numbers $x$ and $y, x^2 y^{-2}>0$.

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$\begin{array}{l} \mathbf{Negate\ A\ Statement\ With\ Multiple\ Quantifiers} \ \mathbf{by\ first\ Interchanging\ \ \forall \ \ and\ \ \exists \ ,\ }\\ \mathbf{then\ negating\ the\ statement\ that\ is\ being\ quantified} :\\ \boxed{\exists \ \mathrm{nonzero\ real\ numbers} \ x\ \mathrm{and} \ y\ \mathrm{such\ that} \ x^{2} y^{2} \ \leq \ 0} \end{array}$

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