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
Please see the attached file.
(Please solve for everything and show each step of your solution).
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 ...
The solution shows equivalent relations and describes partitions.