SetTheory.docx - Set Theory Example Sets...

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Set Theory Example Sets Universe = {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z } C = {B,C,D,G,J,O,P,Q,R,S,U } S = {A,E,F,H,I,K,L,M,N,T,V,W,X,Y,Z } V = {A,E,I,O,U,Y} F = {A,B,C,D,E,F,G,H,I,J,K,L,M}  N = {N,O,P,Q,R,S,T,U,V,W,X,Y,Z} Intro “Belonging to a group”  the “thing” belongs to the Set  the “thing” does not belong to the Set Set Complement:  = { C C x : x  C} C = {B,C,D,G,J,O,P,Q,R,S,U }  = {A,E,F,H,I,K,L,M,N,T,V,W,X,Y,Z } C C C  = { } C C C  = {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z} or U (for  C C universe) Operations with Set Complement  u S = {A,B,C,D,E, F,G,H,I,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z} V C  = {B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Z} V C S = {A,E,F,H,I,K,L,M,N,T,V,W,X,Y,Z }
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Analysis A = A U B Set A has all the same stuff from when you Join A and B together A = {1,2,3} B =  {1,3} {1,2} {2,3} {2} {1} {3} {1,2,3} { } AUB = {1,2,3} = A Nothing in B is not in A
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