Relations, properties of relations

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Exercise 1

 

Exercise 1

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Exercise 2

 

Exercise 2

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Exercise 3

Determine which of the following relations on the set of people

Exercise 3 Determine which of the following relations on the set of
is reflexive, symmetric, antisymmetric or transitive:
has the same parents as;
is a brother of;
is older or younger than;
is at least as clever as.

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Exercise 4

 

Exercise 4

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Exercise 5

 

Exercise 5

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Exercise 5

 

Exercise 5
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