Question

16)write the negation of the following statements q: There exists a rational number x such that x2=2

16)write the negation of the following statements 

q: There exists a rational number x such that x2=2 

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Answer #1

Negation of q is "it is false that q', Thus ~q is the statement.

~q:There does not exist a rational number x such that x² = 2.

This statement can be rewritten as ~q: For all real numbers x,x2 not equal to 2

answered by: Vijayan
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16)write the negation of the following statements q: There exists a rational number x such that x2=2
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