Solution Found!
Give a complete set of equivalence class representatives for the equivalence relation in
Chapter 9, Problem 9.10(choose chapter or problem)
QUESTION:
Give a complete set of equivalence class representatives for the equivalence relation in Example9.2.
Questions & Answers
QUESTION:
Give a complete set of equivalence class representatives for the equivalence relation in Example9.2.
ANSWER:Step 1 of 2
Let be the set of all lines in a plane which has rectangular coordinate system.
For ,
Consider which means that both the lines have equal and undefined slopes which is an equivalence relation on .
The set of lines which are equivalent to a line consists of and all lines in that are parallel to .