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**

* *

Please Help.

Thank you

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

Quote:

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.

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

Quote:

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**

* *

Please Help.

Thank you

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

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?

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

Quote:

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?