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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)

A

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

B

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

C

Every rational number `x inS` satisfies `xle0`

D

`x inS` and `xle0impliesx` is not rational

Text Solution

Verified by Experts

The correct Answer is:
C
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