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: Set theory union question

  1. Jun 5, 2010 #1
    1. The problem statement, all variables and given/known data

    Suppose A,B,C are sets. Prove that

    A× (B U C)= (AxB) U (C x A)
    Last edited: Jun 6, 2010
  2. jcsd
  3. Jun 5, 2010 #2
    Have you tried the usual inclusion both ways method?
  4. Jun 5, 2010 #3
    I'm not familiar..
  5. Jun 5, 2010 #4


    User Avatar

    Well if A is contained in B and B is contained in A, then A=B.
  6. Jun 6, 2010 #5


    User Avatar
    Homework Helper

    assume [itex] x \in A \times (B \cup C) [/itex]. Think about the definitions of Cartesian product and union: what can you conclude about the element [itex] x [/itex]; can you use this information to show [itex] x \in (A \times B) \cup (A \times C) [/itex]?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook