Ask Questions, Get Answers


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 $x \leq 0$

Please log in or register to answer this question.

Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.