Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Vinnie76 Group Title

For each of the following relations, determine whether the relation is reflexive, symmetric, antisymmetric, or transitive. a) R ⊆ Z+ X Z+ where a R b if a|b). b) R is the relation on Z where a R b if a|b. c) For a given universe U and a fixed subset C of U, define R on P (U) as follows: For A, B ⊆ U we have A R 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. e) R is the relation on Z where x _ y if x + y is odd. f ) R is the relation on Z where x _ y if x − y is even.

  • one year ago
  • one year ago

  • This Question is Closed
  1. Vinnie76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    For each of the following relations, determine whether the relation is reflexive, symmetric, antisymmetric, or transitive. a) R ⊆ Z+ X Z+ where a R b if a|b). b) R is the relation on Z where a R b if a|b. c) For a given universe U and a fixed subset C of U, define R on P (U) as follows: For A, B ⊆ U we have A R 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. e) R is the relation on Z where x _ y if x + y is odd. f ) R is the relation on Z where x _ y if x − y is even. g) Let T be the set of all triangles in R2. Define R on T by t1 R t2 if t1 and t2 have an angle of the same measure. h) R is the relation on Z X Z where (a, b)_(c, d) if a ≤ c. [Note: R ⊆ (Z X Z) X(Z X Z).]

    • one year ago
  2. terenzreignz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I actually don't know what antisymmetric means, but I guess I can help out with the other ones... Let's start with (a)

    • one year ago
  3. terenzreignz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you remember what 'reflexive' means?

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.