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Check Whether the Following Pair of Statements is Negation of Each Other. Give Reasons for the Answer. - Mathematics

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प्रश्न

Check whether the following pair of statements is negation of each other. Give reasons for the answer.

(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

उत्तर

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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अध्याय 14: Mathematical Reasoning - Exercise 14.3 [पृष्ठ ३३५]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise 14.3 | Q 3 | पृष्ठ ३३५

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