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

(i) a + b = b + a is true for every real number a and b.

(ii) There exist real numbers a and b for which a + b = b + a.

Asked by Aaryan | 1 year ago |  49

##### Solution :-

The negation of the statement:

p: a + b = b + a is a true for every real number a and b.

is

~p: There exist real numbers are ‘a’ and ‘b’ for which a+b ≠ b+a.

So, the given statement is not the negation of the first statement.

Answered by Sakshi | 1 year ago

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