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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

Every rational number x `in` S satisfies x `le 0 ` .

B

x `in` S and x `le 0 rArr ` x is not rational.

C

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

D

There is no rational number x such that `x le 0 ` .

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The correct Answer is:
A
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