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?

\[x\in S\] and \[x\le 0\Rightarrow x\] is not rational.

There is a rational number \[x\in S\] such that \[x\le 0\].

There is no rational number \[x\in S\] such that\[x\le 0\].

Every rational number \[x\in S\]satisfies\[x\le 0\].

Let S be a non-empty subset of R. Consider the following statement: P:

1.	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?
A.	\[x\in S\] and \[x\le 0\Rightarrow x\] is not rational.
B.	There is a rational number \[x\in S\] such that \[x\le 0\].
C.	There is no rational number \[x\in S\] such that\[x\le 0\].
D.	Every rational number \[x\in S\]satisfies\[x\le 0\].
Answer» E.

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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 statements is the negation of the statement p?

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