5. For each of the following relations, determine whether the
relation is reflexive, symmetric, antisymmetric, or transitive.
a)  ⊆ Z+  Z+ where a  b if a|b (read “a divides b,”
as defined in Section 4.3).
b)  is the relation on Z where a  b if a|b.
c) For a given universeand a fixed subset C of, define
 on () as follows: For A, B ⊆  we have A  B if
A ∩ C  B ∩ C.
d) On the set A of all lines in R2, define the relation  for
two lines 1, 2 by 1  2 if 1 is perpendicular to 2.

Question

5. For each of the following relations, determine whether the
relation is reflexive, symmetric, antisymmetric, or transitive.
a)  ⊆ Z+  Z+ where a  b if a|b (read “a divides b,”
as defined in Section 4.3).
b)  is the relation on Z where a  b if a|b.
c) For a given universeand a fixed subset C of, define
 on () as follows: For A, B ⊆  we have A  B if
A ∩ C  B ∩ C.
d) On the set A of all lines in R2, define the relation  for
two lines 1, 2 by 1  2 if 1 is perpendicular to 2.

anonymous · Answer

Have you just copied and pasted this? because some of this doesn't read very well.

anonymous · Answer

Yeah it is from text

anonymous · Answer

Well if you don't put in the time to present the question properly, why should others bother with answering?