Q. 55.0( 1 Vote )

# 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.

Answer :

Negation of statement p is "not p." The negation of p is symbolized by "~p." The truth value of ~p is the opposite of the truth value of p.

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.

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