## 10 Relations on set A={1,2,3} with conditions.

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.
fun95
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Joined: Fri May 02, 2014 10:44 am
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### 10 Relations on set A={1,2,3} with conditions.

suppose we have set A={1,2,3}
write relation with fewest members and these conditions:

1. just reflexive
2. just symmetric
3. just transitive
4. just antisymmetric
5. just reflexive and symmetric
6. just reflexive and antisymmetric
7. just reflexive and transitive
8. just antisymmetric and transitive
9. just reflexive and symmetric and transitive
10. reflexive and symmetric and antisymmetric and transitive

Thank you

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
suppose we have set A={1,2,3}
write relation with fewest members and these conditions:

1. just reflexive
2. just symmetric
3. just transitive
4. just antisymmetric
5. just reflexive and symmetric
6. just reflexive and antisymmetric
7. just reflexive and transitive
8. just antisymmetric and transitive
9. just reflexive and symmetric and transitive
10. reflexive and symmetric and antisymmetric and transitive
Which parts have you attempted so far? Where are you getting stuck? It might be helpful to pick one particular set of conditions, and show what you've done so far on that. Thank you!