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

1. ## 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

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

Originally Posted by reza95
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
This is nothing more than busy busy work.

You should get busy and show some work.

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

Originally Posted by reza95
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

Do you know what any of these words mean? If you know what "reflexive" means, problem 1 is trivial.

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

I know what is "reflexive" but I do not what I write is correct or not?

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

Originally Posted by reza95
I know what is "reflexive" but I do not what I write is correct or not?
You did not write any version of a solution to question 1. How can we say if you are correct?