Hi,
I have a question that is as follows:
"draw a talbe to show weather the following relations demostrate the following properties: symmetry, anti-symmetry, reflexivity, partial order, equivalence
a. differs by multiple 5
b. exaclty divides
c. is a permutation of"
all i can think of for
a: reflexivity, partial order,symmetry
b: symmetry,reflexivity
c: anti-symmetry,equivalence
but im not to sure im on the right path. can someone set me straight
thanks
As Plato said, the answers to some of the questions depend on the set A on which these relations are given. I'll assume that , for (a) and (b) and , for some n for (c).
If you list partial order, then you should list antisymmetry as well. In fact, antisymmetry and partial order only hold for some A. Reflexivity and symmetry are correct. This is an equivalence relation.
Symmetry, antisymmetry, partial order and equivalence relation hold only for some A, reflexivity is correct.
Antisymmetry and partial order hold for some A, symmetry, reflexivity and equivalence relation always.