b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W, X, Y and Z. We define the relation: A Sesotho word x is related to another Sesotho word y if x begins with the same letter as y. Determine whether or not this is an equivalence relation. If it is an equivalence relation then 1. Compute C(sekatana) 2. How many equivalence classes are there in all, and why? 3. What is the partition of the English words under this relation?

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...
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b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W,
X, Y and Z.
We define the relation: A Sesotho word x is related to another Sesotho word y if x
begins with the same letter as y.
Determine whether or not this is an equivalence relation.
If it is an equivalence relation then
1. Compute C(sekatana)
2. How many equivalence classes are there in all, and why?
3. What is the partition of the English words under this relation?
If it is NOT an equivalence relation then explain in details why it is not.
Transcribed Image Text:b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W, X, Y and Z. We define the relation: A Sesotho word x is related to another Sesotho word y if x begins with the same letter as y. Determine whether or not this is an equivalence relation. If it is an equivalence relation then 1. Compute C(sekatana) 2. How many equivalence classes are there in all, and why? 3. What is the partition of the English words under this relation? If it is NOT an equivalence relation then explain in details why it is not.
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