Practice with Sets Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully. Choose the best answers.

1.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {2, 4, 6, 8, 10}
B = {1,2,3,4,5,6}
Find:
 A∪B = Answer {1,2,3,4,5,6,8,10} A∩B = Answer {2,4,6} (A∩B)C = Answer {1,3,5,7,8,9,10}

2.
U = {-5, -3, -1, 0, 1, 3, 5}
A = {0, 1, 3, 5}
B = {-5, -3, -1, 0}
Find:
 A∪B = Answer {-5,-3,-1,0,1,3,5} = U} A∩B = Answer {0} (A∩B)C = Answer {-5,-3,-1,1,3,5} Is A⊂B ? Answer NO

3.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
Find:
 A∪B = Answer U - the universal set for this problem. A∩B = Answer { } - the empty set (A∩B)C = Answer U - the universal set (A∪B)C = Answer { } - the empty set

4.
U = {positive even integers}
A = {2, 4, 8, 16}
B = {6, 8, 10, 12, 14, 16}
Find:
 A∪B = Answer {2,4,6,8,10,12,14,16} A∩B = Answer {8,16} (A∩B)C = Answer all positive even integers except 8 and 16 Is A⊂B ? Answer NO

5.
U = {10, 20, 30, 40, 50, 60}
A = {10}
B = {10, 40, 60}
Find:
 A∪B = Answer {10,40,60} A∩B = Answer {10} (A∩B)C = Answer {20,30,40,50,60} (A∪B)C = Answer {20,30,50} Is A⊂B ? Answer YES

6.
Given:
Set A = {(-2,-1), (-1,0), (1,8)}
Set B = {(-3,-4), (-2,-1), (-1,2), (1,8)}.
What is the intersection of sets A and B?
Choose:
 {(1,8)} {(-2,-1)} {(-2,-1), (1,8)} {(-3,-4), (-2,-1), (-1,2), (-1,0), (1,8)}

7.
Which set represents the intersection of sets A, B, and C as shown in the diagram at the right?
Choose:
 {2, 3} {2} {3, 4, 5, 6, 7} {2, 3, 4, 5, 6, 7}

8.
Given:
A = {all odd integers from 1 to 19, inclusive}
B = {9, 11, 13, 15, 17}
What is the complement of set B within set A?
Choose:
 {3, 5, 7} {3, 5, 7, 19} {1, 3, 5, 7} {1, 3,5, 7, 19}

9.
Given:
U = {x | 0 < x < 10 and x is an integer}
S = {x | 0 < x < 10 and x is an odd integer}
The complement of set S within the universal set U is:
Choose:
 {2, 4, 6, 8} {0, 2, 4, 6, 8} {2, 4, 6, 8, 10} {0, 2, 4, 6, 8, 10}

10.
In Mr. Conner's Math class, 16 students are in band, 7 students play sports, 3 students participate in both activities, and 9 students are not in band and do not play sports. How many students are in Mr. Conner's Math class?
Choose:
 22 26 29 35

 NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation and is not considered "fair use" for educators. Please read the "Terms of Use".