Solution Found!
Let S = {1, 2, 3, 4, 5, 6, 7}. The relation R = {(1, 1), (1, 3), (1, 4), (2, 2), (3, 1)
Chapter 5, Problem 2(choose chapter or problem)
QUESTION:
Let S = {1, 2, 3, 4, 5, 6, 7}. The relation R = {(1, 1), (1, 3), (1, 4), (2, 2), (3, 1), (3, 3), (3, 4), (4, 1), (4, 3), (4, 4), (5, 5), (5, 7), (6, 6), (7, 5), (7, 7)} on S is an equivalence relation. Determine the distinct equivalence classes.
Questions & Answers
QUESTION:
Let S = {1, 2, 3, 4, 5, 6, 7}. The relation R = {(1, 1), (1, 3), (1, 4), (2, 2), (3, 1), (3, 3), (3, 4), (4, 1), (4, 3), (4, 4), (5, 5), (5, 7), (6, 6), (7, 5), (7, 7)} on S is an equivalence relation. Determine the distinct equivalence classes.
ANSWER:Step 1 of 3
Equivalence classes for each element in the set can be defined as follows:
Or we can write that, equivalent class of an element is the set of elements that related to .