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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

ConceptSpecial Words Or Phrases

#### 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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