1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Distributive property of Sets

  1. Nov 17, 2012 #1
    Hello all, while practicing set theory, I cam across this problem:

    If A and B are sets, prove that A x (B-C) = (AxB) - (BxC).

    This looks suspiciously like the distributive property but it's not. Is this simply a typo? Shouldn't the problem look like this:

    A x (B-C) = (AxB) - (AxC)

    Thanks for any suggestions.
  2. jcsd
  3. Nov 17, 2012 #2
    You can easily check and understand its a typo.
    Let A = {1,2},
    B = {3,4}
    C = {3}.
    AX(B-C) = (1,4) (2,4)
    AXB 1,4 2,4 1,3 2,3, and BXC = 3,3 4,3.
    I hope I'm not making a full of myself and your doing things that are much more complicated then what I just said :)

    Thanks, Bonaparte
  4. Nov 17, 2012 #3
    No, you're not making a fool of yourself. I think it's a typo too.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook