Let S be a non-empty subset of R. Consid...

Let S be a non-empty subset of R. Consider the following statement: P: There is a rational number `x in S` such that `x"">""0` . Which of the following statements is the negation of the statement P ? There is no rational number `x in S` such that `xlt=0` (9) Every rational number `x in S` satisfies `xlt=0` (18) `x in S` and `xlt=0=>x` (27) is not rational There is a rational number `x in S` such that `xlt=0` (36)

There is a rational number `x inS` such that `xle0`

There is no rational number `x inS` such that `xle0`

Every rational number `x inS` satisfies `xle0`

`x inS` and `xle0impliesx` is not rational

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Let S be a non-empty subset of R . Consider the following statement P: There is a rational number x in S such that x>0 which of the following statement is the negation of the statement P.

Every rational number x in S satisfies` x leq 0`

x in S and` x leq 0 rarr x` is not rational

There is a rational number x in S such that` x leq 0`

There is no rational number x in S such that` x leq 0`