question_answer

  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?       AIEEE  Solved  Paper-2010

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

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

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

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