MATH 140  In-Class Exercise on Sets

Names____________________________________________________________

1.  Let be the universal set.  Let be a given subset of U.  In the following you are to give an example of a set B that satisfies the given condition or conditions.  There may be no such set possible.  In that case write “impossible”.  Remember that B is a subset of U.

a)                         b)   

c)              d)   

e)    

f)                g)   

h)                         i)   

j)     k)   

l)   

2.  Let be the universal set.  Suppose that A, B, and C are sets which satisfy: 

    a) Give an example of sets A, B, and C such that  (If possible)

      A = {_________},  B = {___________},  C = {____________}

   b) Give an example of sets A, B, and C such that  (If possible)

      A = {_________},  B = {___________},  C = {____________}

  c) Give an example of sets A, B, and C such that  (If possible)

      A = {_________},  B = {___________},  C = {____________}

 

3.  Draw Venn diagrams for the sets A and B below and shade each of the following sets (in a different diagram).  are any of these sets equal to each other?