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?
JEE · Math · previous-year question
- A.There is no rational number x ∈ S such that x ≤ 0
- B.Every rational number x ∈ S satisfies x ≤ 0
- C.x ∈ S and x ≤ 0 $$ \Rightarrow $$ x is not rational
- D.There is a rational number x ∈ S such that x ≤ 0
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