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# Write the negation of the following statements:

r : There exists a number x such that 0 < x < 1.

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:

r : There exists a number x such that 0 < x < 1.

is

~r : For every real number x,either x ≤ 0 or x ≥ 1.

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PREVIOUSWrite the negation of the following statements:q : For every real number x, either x > 1 or x < 1.NEXTCheck 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.

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