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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 a rational number x∈S such that x ≤ 0.

  • There is no rational number x∈ S such that x≤0.

  • Every rational number x∈S satisfies x ≤ 0.

  • Every rational number x∈S satisfies x ≤ 0.


C.

Every rational number x∈S satisfies x ≤ 0.

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