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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.
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.
CBSE | Class 11 | Exercise 14.3 | Mathematical Reasoning | Maths | NCERT
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.

The negative of \[\left( I \right)\] is given below

There exists genuine number \[x\text{ }and\text{ }y\]for which \[x\text{ }+\text{ }y\text{ }\ne \text{ }y\text{ }+\text{ }x\]

Now, this statement isn’t same as \[\left( ii \right)\]explanation

Subsequently, the given Statements are not the negative of one another

i

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