Mathematics Homework Solutions
Problem
#6148

Equivalence Relation, equivalence classes and the partition defined by the relation.

Verify the relation R on Z defined by xRy iff 5(x-y), i.e., 5 divides x-y, is an equivalence relation. Describe the equivalence classes, and the partition defined by this equivalence relation.


Solution Summary

A relation is verified. The equivalence class and the partion defined by the relation is determined.

Solution
What is this?
By OTA - Overall OTA Rating
Yupei Xiong, PhD - 4.8/5
Purchase Cost Now
$2.19 CAD (was ~$3.99)
Included in Download
  • Plain text response
Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Equivalence Relations - Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically. 1) (x1,y1)R(x2,y2) if and only if x1 = x2 ...
  • Equivalence Relations - H is the relation on the set of all people given by H = {(a,b)|a and b are the same height}. Is H an equivalence relation? Explain your answer.
  • Equivalence Relations and Equivalence Classes - I don't know how to show the following are equivalence relations and if they are, how to describe equivalence classes. 1. a^2 + b^2=c^2 + d^2 where a,b,c,d are real numbers(describe equivalence cl) ...
  • Equivalence relations - College level proof before Real Analysis. Verify that the relation is an equivalence relation (see attached)
  • Equivalence Relations - Determine all equivalence relations on the set S ={x,y,z}.
Browse