MATH 140 In Class Exercise 5            Operations on Sets

Names__________________________________________________

 

1. For each of the following sets A and B compute  .

A

B

{1,2,3,4,5}

{3,4}

 

 

 

{1,2,3,4,5}

{1,5,6,7,8}

 

 

 

{1,2,3}

{1,2,3}

 

 

 

{1,2,3,4}

{5,6,7,8}

 

 

 

 

What can you conclude about ? _____________

 

2.  Let U = {1,2,3,…,10} and A = {1,2,3}.  Find an example of a set B that satisfies each of the following:

 a)    and n(B) = 2         B = ____________

 b)  and n(B) = 5          B = ____________

 c)                          B = ____________

 d)                          B = ____________

 e) A-B = A                             B = ____________

 

 

3.  Let U = {1,2,3,…,10}, A = {1,2,3,4,5}, and B = {2,4,6,8,10}. Find each of the following sets:

 a)  = _________

 b)  = _________

 c)  = ________

 d)  = ________

 e)  = ________