Tutorial Contents Tutorial Eight: Relations- Reflexivity - Symmetry -Transitivity - Connectedness -
Example of a tableau proof
- Eqivalent Relations
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Exercise 8.2

1

In a rowing regatta there is a race involving six coxed eights. In each of the following cases, say whether the relation is an equivalence relation in the domain consisting of the competitors in the race, and, if it is, how many equivalence classes there are and how many members there are in each class:
  (i)

x rows in the race in the same boat as y

  (ii)

x rows in the race against a boat containing y

  (iii)

x rows in the race in the same position as y

  (iv)

x rows in the race and so does y

 

 

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