Question

Check whether the following pair of statements is negation of each other. Give reasons for the answer
(i)  is true for every real numbers and
(ii) There exists real number and for which

Medium

Solution

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The negation of statement (i) is as follows
There exists real number and for which . This is not the same as statement (ii).
Thus the given statements are not the negation of each other 

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Solution to Question ID 418262
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