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October 10th, 2016, 11:19 AM  #1 
Member Joined: Sep 2016 From: zambia Posts: 31 Thanks: 0  set theory
What would be shaded in a Venn diagram for the set (A⋂B')⋂(A'⋃B)?
Last edited by skipjack; October 10th, 2016 at 12:40 PM. 
October 10th, 2016, 12:45 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,216 Thanks: 493 
Looks empty to me.

October 10th, 2016, 12:49 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 16,919 Thanks: 1253 
Are you sure you gave that set correctly?

October 10th, 2016, 10:13 PM  #4 
Member Joined: Sep 2016 From: zambia Posts: 31 Thanks: 0 
Yes l made a mistake... it's supposed to be (AnB') n (A'uB)
Last edited by skipjack; October 11th, 2016 at 05:11 AM. 
October 10th, 2016, 10:24 PM  #5 
Senior Member Joined: Sep 2015 From: CA Posts: 1,199 Thanks: 611  still the empty set $A' \cup B = (A \cap B')'$ $(A \cap B') \cap (A \cap B')' = \emptyset$ Last edited by skipjack; October 11th, 2016 at 05:11 AM. 
October 10th, 2016, 10:51 PM  #6 
Member Joined: Sep 2016 From: zambia Posts: 31 Thanks: 0 
Thank you for the help. I really appreciate it.
Last edited by skipjack; October 11th, 2016 at 05:12 AM. 

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