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

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.

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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