# Let S be a non-empty subset of R. Consider the following statement : <br> P : There is a rational number $x \in S$ such that $x > 0$. <br> Which of the following statements is the negation of the statement P ?
( A ) There is a rational number $x \in S$ such that $x \leq 0$
( B ) Every rational number $x \in S$ satisfies $x \leq 0$
( C ) $x \in S$ and $x \leq 0 \implies$ is not rational
( D ) There is no rational number $x \in S$ such that $x \leq 0$