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Let S be a non-empty subset of R. Consider the following statement: P: There is a rational number x Î S such that x > 0.Which of the following statements is the negation of the statement P ?(1) There is no rational number x ∈ S such that x £ 0(2) Every rational number x ∈ S satisfies x £ 0(3) x ∈ S and x £ 0 x is not rational(4) There is a rational number x ∈ S such that x £ 0 |
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Answer» (2) 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 |
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