A Jar Jar Binks Barney Mary Washington Martha Washington

• A = {Jar Jar Binks, Barney, Mary Washington, Martha Washington}
• B = {4, 6, 7}
• C = the set of all non-prime positive integers
• F = {l | l’s husband is or was president of the United States}
• G = the set of all African-Americans
• H = {q | q is prime and 1900 < q < 2100}
• J = the set of years in which the New York Yankees won the World Series1
• M = the set of all male players on the Washington Mystics
• S = the set of years in which the Denver Broncos won the Superbowl2
• T = the set of years in which the Kansas City Chiefs won the Superbowl3
• W = the set of all females
• U = the set of all colleges in the University of Mary Washington4
• N = the set of natural numbers
• = the set of absolutely all possible things
1Google can help for problems like this one.
2And this one.
3Ditto.
4
If you don’t know what the UMW “colleges” are, Google can help here too. Hint: one of them is
“The College of Arts and Sciences.”
1
Questions:
1. Is 2000 H?
2. Is Barack Obama F?
3. Is Beyonc´e / W?
4. Is F W?
5. Is F¯ W¯ ?
6. What is B H?
7. What is B C?
8. What is S J?
9. What is H S J?
10. What is H (S J)?
11. What is (G W) F?
12. What is P(A - F)?
13. What is | B |?
14. What is | P(U) |?
15. What is | P(U) P(B) |?
16. What is U × (B C)?
17. Does B N = N?
18. Does U N = N?
19. Does R = R?
20. Does | G W |=| W |?
21. Does | J A |=| A |?
22. Does | F W |=| F |?
23. Does G H = T M?
24. Does G H = T M?
25. Do B C and B C¯ form a partition of B? Explain.
26. Do W and W¯ form a partition of ? Explain.

Solution

1.False. ...2000 is not a prime

2. False.....current president of the United States is Barack Obama .

3.False. because all female are in W

4.False. because F = set of male and W is the set of female.