Let ' A ' be a non-empty sub-set of R . Let ' P ' be the statement "There is a rational number x ∈ A such that 2 x − 1 ≥ 0 ". Which of the following statements is the negation of t

Question

Let ' A ' be a non-empty sub-set of R . Let ' P ' be the statement "There is a rational number x ∈ A such that 2 x − 1 ≥ 0 ". Which of the following statements is the negation of the statement P ?

TestHub · Accepted Answer

Negation of P : There does not exists a rational number x ∈ A such that 2 x − 1 ≥ 0 ie ; for every rational number x ∈ A , 2 x − 1 ⋡ 0 ie ; for every rational number x ∈ A , 2 x − 1 < 0

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