Activity 18.1.
For each of the relations provided, carry out the following steps.
- Verify that the relation is an equivalence relation on the set
- Consider a few example equivalence classes, for the specific example representative elements provided (if applicable). What other elements are in that class?
- Devise a general way to describe every equivalence class, using your experience from the example classes already considered (if applicable). Make your class descriptions more meaningful than just βall elements equivalent to a specific representative element.β
- List/describe all elements in the quotient