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?
Answer & explanation
Correct answer: option 2
P : there is a rational number x ∈ S such that x > 0
∼ P : Every rational number x ∈ S satisfies x ≤ 0