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.  In each of the following find examples of sets A and B that are subsets of  the set U={1,2,3,…10} and satisfy the given property or condition.  If it is impossible to find such sets write – impossible.

 a)                            a)______________________________

 

 b)                                      b) ______________________________

 

 c)              c) ______________________________

 

 d)                                d) ______________________________

 

 e) n(A)=6, n(B)=6, and      e) ______________________________

 f)                                   f) ______________________________

 

 g)                                      g) ______________________________

 h)                                                 h) ______________________________