#### 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?

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