Let X = {1, 2, 3, 4, 5, 6) and S= {(1, 2), (3, 4), (5, 6)). Which of the following types of mathematical object could S be? a partition of X b. an equivalence class of an equivalence relation on X C. a relation on X a. d. a permutation of X

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
icon
Related questions
Question
Let X = {1, 2, 3, 4, 5, 6} and S = {(1, 2), (3, 4), (5, 6)}. Which of the following types of mathematical object could S be?
O
C
a. a partition of X
b. an equivalence class of an equivalence relation on X
C. a relation on X
d. a permutation of X
Transcribed Image Text:Let X = {1, 2, 3, 4, 5, 6} and S = {(1, 2), (3, 4), (5, 6)}. Which of the following types of mathematical object could S be? O C a. a partition of X b. an equivalence class of an equivalence relation on X C. a relation on X d. a permutation of X
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer