Set, Relation and FunctionHard
Question
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 ?
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 ?
Options
A.There is a rational number x ∈ S such that x ≤ 0
B.There is no rational number x ∈ S such that x ≤ 0
C.Every rational number x ∈ S satisfies x ≤ 0
D.x ∈ S and x ≤ 0 ⇒ x is not rational
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