Let S be a non-empty subset of R. consider the following statement : P: There is a rational number `xinS` such that xgt0. which of the following state
Let S be a non-empty subset of R. consider the following statement :
P: There is a rational number `xinS` such that xgt0. which of the following statements is the negation of the statement P?
A. `x in S` and `x le 0 rArr x` is not rational
B. There is rational number `x in S` such that `xle0`.
C. There is no rational number `x in S` such that `xle0`.
D. Every rational number `x in S` satisfies `xle0`
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Correct Answer - D
P: There is a rational bumber `x in S` such that `x gt0`
`~p `: Every rational number `x in S` satisfies `xle0`
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