Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What does this mean,(A Δ B)^c?

  1. Jan 30, 2006 #1
    What does this mean,

    (A Δ B)^c? And what does it equal to?

    I know that (A Δ B)= (A-B) U (B-A).
  2. jcsd
  3. Jan 30, 2006 #2
    Might mean the complement of (A Δ B)
  4. Jan 30, 2006 #3
    Yes, I know, but how do I find the complement. Thats where I'm stuck. What is the complement equal to?
  5. Jan 30, 2006 #4
    I don't really understand what you are asking, the complement is going to be all members of the universe that are not in the given set so from what you have told me it would be the set of all x such that x is not a member of the symmetric difference between A and B.
  6. Jan 31, 2006 #5
    So for example, all x such that x is not in (A Δ B)= (A-B) U (B-A)!
    What I was asking is what's (A Δ B)^c= ??
    Because in the text book it's not given and I got stuck for one of the problems before I could proceed.
  7. Jan 31, 2006 #6


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Note that your triangle thingy set does not contain points common to A and B, nor does it contain points in the complement of the union of A and B.

    Does that help?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook