Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

Consider the following relations : <br> $R = \{ (x, y) | x, \; y$ are real number and $x = wy$ for some rational number $w \}$; <br> $S = \{ (\frac{m}{n}, \frac{p}{q} ) | m, \; n, \; p $ and $q$ are integers such that $n, \;q \neq 0$ and $qm = pn \}$. Then


( A ) neither $R$ nor $S$ is an equivalence relation
( B ) $S$ is an equivalence relation but $R$ is not an equivalece relation
( C ) $R$ is an equivalence relation but $S$ is not an equivalence relation
( D ) $R$ and $S$ both are equivalence relations

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