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A Sesotho word cannot begin with any of the following letters of alphabet: D, G, V, W, X, Y and Z. We define the relation:

A Sesotho word cannot begin with any 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 Sesotho words under this relation? If it is NOT an equivalence relation then explain in details why it is not.

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