Practicing Success
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? |
There is no rational number x ∈ S such that x ≤ 0 Every rational number x ∈ S satisfies x ≥ 0 x ∈ S and x ≤ 0 ⇒ x is not rational There is a rational number x ∈ S such that x ≤ 0 |
Every rational number x ∈ S satisfies x ≥ 0 |
P : there is a rational number x ∈ S such that x > 0 ∼ P : Every rational number x ∈ S satisfies x ≤ 0 |