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Check whether the following pair of stat...

Check whether the following pair of statements are negation of each other. Given reasons for your answer: `a+b=b+a` is true for every real number `a\ a n d\ bdot` There exist real numbers `a\ a n d\ b` for which `a+b=b+adot`

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Negation of first statement : there exists real number for which `x+y=y+x` is not true. It is different form other statement. So, the given statements are not the negation of each other.
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