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Question

The negation of the statement “For all real numbers $x$ and $y$, $x + y = y + x$” is

for some real numbers $x$ and $y$, $x - y = y - x$

for all real numbers $x$ and $y$, $x + y = y + x$

for some real numbers $x$ and $y$, $x + y = y + x$

for some real numbers $x$ and $y$, $x + y \neq y + x$

Solution

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