Explore BrainMass
Share

Relations and partitions

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

College level proof before real analysis. Please see the attached file.

© BrainMass Inc. brainmass.com September 21, 2018, 1:39 pm ad1c9bdddf - https://brainmass.com/math/recurrence-relation/relations-partitions-179754

Attachments

Solution Preview

Please see the attached file.

(Please solve for everything and show each step of your solution).

Proof.

1. To show that R is an equivalence relation of the power set of S. We need to show that R is
(a) Reflexive: For any
Proof: For any is true trivially, as A and A have the same size.

(b) Symmetric: For any if then
Proof: Since , A and B have the same size. So, B ...

Solution Summary

The solution shows equivalent relations and describes partitions.

$2.19