Question

(i) $x+y=y+x$ is true for every real numbers $x$ and $y$

(ii) There exists real number $x$ and $y$ for which $x+y=y+x$

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Solution

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There exists real number $x$ and $y$ for which $x+y$ $=$ $y+x$. This is not the same as statement (ii).

Thus the given statements are not the negation of each other

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