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JEE Main2010MathematicsSets and RelationsActual

Let S be a non-empty subset of R. Consider the following statement: P : There is a rational number x S such that x >0 . Which of the following statements is the negation of the statement P ?

Options

  1. AThere is no rational number x S such that x 0
  2. BEvery rational number x S satisfies x 0
  3. Cx S and x 0 x is not rational
  4. DThere is a rational number x S such that x 0

Correct answer

B. Every rational number x S satisfies x 0

Step-by-step solution

P : there is a rational number x S such that x>0 P : Every rational number x S satisfies x 0

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