determining the qualities of sets

Question

Let U= {q,r,s,t,u,v,w,x,y,z}

     A={q,s,u,w,y}

     B= {q,s,y,z}

     C= {v,w,x,y,z}

 

Determine the following

 

1) A∩B'

 

2) (A υ B)'

Answer 1

U = {q,r,s,t,u,v,w,x,y,z}

A = {q,s,u,w,y}
B = {q,s,y,z)

 

1)  Find A∩B'

 

A = {q,s,u,w,y}

B = {q,s,y,z)

B' = U - B = {r,t,u,v,w,x}

 

A∩B' = {u,w}            (the set of all elements in both set A and set B')

 

2) Find (AUB)'

 

A = {q,s,u,w,y}
B = {q,s,y,z)

AUB = {q,s,u,w,y,z}

 

(AUB)' = U - (AUB) = {r,t,v,x}    ( the set of all elements not in the union of set A and set B)