Unit 13 Exercises

1. Let A and B be sets.  Show that

  1. A cup.gif (142 bytes) B = B cup.gif (142 bytes) A.
  2. A cap.gif (142 bytes) B = B cap.gif (142 bytes) A.

2. Show that if A and B are sets, then barAuB.gif (142 bytes) =A_bar.gif (163 bytes) cap.gif (142 bytes) B_bar.gif (177 bytes)
    by showing each side is a subset of the other side.

3. Let A, B, and C be sets.  Show that   A cup.gif (142 bytes) ( B cup.gif (142 bytes) C ) = ( A cup.gif (142 bytes) B ) cup.gif (142 bytes) C.

 

Answers for these exercises