57 284
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Abstract Algebra Question for Paras

Question #23581
A relation R is defined on the set of integers as xRy iff (x+y) is even. which of the following statement is true ?
a) R is not an equivalence relation
b) R is an equivalence relation having one equivalence class
c) R is an equivalence relation having two equivalence class
d) R is an equivalence relation having three equivalence class
Expert's answer
a) is false, since xRy meansthat x,y are either both odd either both even. So, xRx as x+x=2x - even,
xRy and yRx as x+y=y+x
xRy and yRz implies xRz as in this case all x,y,z are either odd either even.
b) false
c) true . All integers can be divided into 2 groups: even numbers and odd. Theninside any these groups all their elements are equivalent.
d) false

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question