JEE Main 2010 Mathematics question
Not in JEE syllabus
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: (2)
Solution
P: ∃ rational x ∈ S with x > 0. Its negation: for every rational x ∈ S, x ≤ 0, option (2).