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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: 6,510 Thanks: 584 Looks empty to me.
 October 10th, 2016, 12:49 PM #3 Global Moderator   Joined: Dec 2006 Posts: 18,956 Thanks: 1602 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
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Quote:
 Originally Posted by jeho Yes l made a mistake... it's supposed to be (AnB') n (A'uB)
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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