Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
kdekle
Group Title
Let R be the relation xRy if and only if x^2+1=y^2+1. Since it is an equivalence relation, list all the elements of the equivalence classes [1], [0], [1/4]
 3 months ago
 3 months ago
kdekle Group Title
Let R be the relation xRy if and only if x^2+1=y^2+1. Since it is an equivalence relation, list all the elements of the equivalence classes [1], [0], [1/4]
 3 months ago
 3 months ago

This Question is Closed

kdekle Group TitleBest ResponseYou've already chosen the best response.0
I have already proven it's an equivalence relation but we didn't go over classes so much so I'm a bit confused
 3 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.3
\[x^2+1=y^2+1\iff x^2=y^2\iff x=\pm y\]
 3 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.3
therefore the equivalence class of \([1]\) is \(\{1,1\}\)
 3 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.3
lot easier than the last one!
 3 months ago

kdekle Group TitleBest ResponseYou've already chosen the best response.0
oh ok! So for [0] the only element is 0?
 3 months ago

kdekle Group TitleBest ResponseYou've already chosen the best response.0
what about [1/4]?...would it just be {1/4, 1/4}?
 3 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
looks good
 3 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.3
as judge judy would say "the questions get harder"
 3 months ago

kdekle Group TitleBest ResponseYou've already chosen the best response.0
so my answers are correct then?
 3 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.