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Check Whether the Following Pair of Statements is Negation of Each Other. Give Reasons for the Answer. - CBSE (Arts) Class 11 - Mathematics

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Question

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

Solution

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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 14: Mathematical Reasoning
Q: 3 | Page no. 335

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Solution Check Whether the Following Pair of Statements is Negation of Each Other. Give Reasons for the Answer. Concept: Special Words Or Phrases.
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