Given the sets over the domain {a, b, c, d}:

A ={ (a,a),(b,b),(d,d),(b,a)}

B ={ (a,c),(c,c),(c,a),(d,a)}

C ={ (a,c),(a,d),(c,b),(c,c)}

For A, B, and C: find the following closures. (2 points each. 18 total)

Reflexive

Symmetric

Transitive

I have gotten these answers for 1 and 2 not sure if they are correct

1) {(a,a) (b,b) (d,d)}

{c,c}

{c,c}

2){(a,a), (b,b), (d,d)}

{(a,c), (c,c), (c,a)}

{(c,c)}

3. not sure

Thank You