MATH 140 In Class Exercise 6

Names____________________________________________________________

1.      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) ______________________________

 

2. Let the Universe U be the alphabet.  Let A be the set of letters in NORTH CAROLINA, B the set of letters in SOUTH DAKOTA, and C the set of letters in PENNSYLVANIA.  Fill in the venn diagram below with this data.

 

3. Let A = {1,2,3}, B = {1,2,a,b}, and C = {1,a,b,c,d}.

    Find two elements from each of the following sets:

  a)           a)_________

  b)           b)_________

  c)           c)_________