Is it an empty set?
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,339 Oct 19, 2020 #2 Is it? What makes you think so? Can you demonstrate whether De Morgan agrees with you?
pka Elite Member Joined Jan 29, 2005 Messages 11,989 Oct 19, 2020 #3 fg9 said: View attachment 22436 Is it an empty set? Click to expand... A∩(B∪A)c=A∩(Bc∩Ac)= ?A\cap(B\cup A)^c=A\cap(B^c\cap A^c)=~?A∩(B∪A)c=A∩(Bc∩Ac)= ? AND WHY?
fg9 said: View attachment 22436 Is it an empty set? Click to expand... A∩(B∪A)c=A∩(Bc∩Ac)= ?A\cap(B\cup A)^c=A\cap(B^c\cap A^c)=~?A∩(B∪A)c=A∩(Bc∩Ac)= ? AND WHY?
F fg9 New member Joined Jun 15, 2020 Messages 14 Oct 19, 2020 #4 Is (B U A)^c the area outside the 2 sets?
pka Elite Member Joined Jan 29, 2005 Messages 11,989 Oct 19, 2020 #5 fg9 said: Is (B U A)^c the area outside the 2 sets? Click to expand... You need to understand more than Venn diagrams. Do you understand that X∪Y)c=Xc∩Yc) ?X\cup Y)^c=X^c\cap Y^c)~?X∪Y)c=Xc∩Yc) ? Look that this truth table P∧¬(Q∨P)P\wedge\neg(Q\vee P)P∧¬(Q∨P) What would all false(F) mean?
fg9 said: Is (B U A)^c the area outside the 2 sets? Click to expand... You need to understand more than Venn diagrams. Do you understand that X∪Y)c=Xc∩Yc) ?X\cup Y)^c=X^c\cap Y^c)~?X∪Y)c=Xc∩Yc) ? Look that this truth table P∧¬(Q∨P)P\wedge\neg(Q\vee P)P∧¬(Q∨P) What would all false(F) mean?
Steven G Elite Member Joined Dec 30, 2014 Messages 14,591 Oct 19, 2020 #6 fg9 said: Is (B U A)^c the area outside the 2 sets? Click to expand... Yes.