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Check whether the following pair of stat...

Check whether the following pair of statements are negation of each other. Give reasons for your answer.
(i) `x + y = y + x`is true for every real numbers x and y.
(ii) There exists real numbers x and y for which `x + y = y + x`

Text Solution

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The negation of statement (i) is as follows
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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