Get solution: In each of 314, the relation R is an equivalence relation on the set A

Chapter 8, Problem 8

(choose chapter or problem)

In each of 3–14, the relation R is an equivalence relation on the set A. Find the distinct equivalence classes of R.

X = {a, b, c} and A = \(\mathscr{P}\)(X). R is defined on A as follows: For all sets U and V in \(\mathscr{P}\)(X),

U R V \(\Leftrightarrow\) N(U) = N(V).

(That is, the number of elements in U equals the number of elements in V.)

Text Transcription:

mathscr P

Leftrightarrow