III Answer the questions below assuming that X a b c d e f

III) Answer the questions below assuming that X = {a, b, c, d, e, f} (4 points each) a) Given the following set of ordered pairs for a relation: {(a,f), (b,c), (d,a), (b,b), (e,f), (f,f), (c,c), (a,d)} What ordered pairs would need to be added to make the relation reflexive? b) Given the following set of ordered pairs for a relation: {(a,f), (b,c), (d,a), (b,b), (e,f), (f,f), (c,e),(a,d),(d,b)} What ordered pairs would need to be added to make the relation symmetric? c) Given the following set of ordered pairs for a relation: {(a,f), (b,c), (d,a), (b,b), (e,f), (f,f), (c,e),(b,d)} What ordered pairs would need to be added to make the relation transitive?

Solution

Given the following set of ordered pairs for a relation: {(a,f), (b,c), (d,a), (b,b), (e,f), (f,f), (c,c), (a,d)} What ordered pairs would need to be added to make the relation reflexive? b) Given the following set of ordered pairs for a relation: {(a,f), (b,c), (d,a), (b,b), (e,f), (f,f), (c,e),(a,d),(d,b)}