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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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