MATH 141-501 Quiz #9
(Take Home: Set Theory)
Due at beginning of class, October 14
Name:
Seat:
1. Let A = {1, 2, 3, 4} ,B = {1}, C = {4, 5, 6, 7} and D = {9, 10, 11}. The universal set U is
{1, 2, . . . , 9, 10}.
a.) Fill in the blank to make the following statements true. (0.5 points each)
• B
A
• 1
A
• 2
A
• ∅
A
b.) Write the indicated sets in roster notation. (0.5 points each)
A∩C =
B∪C =
Ac ∩ (D ∪ C) =
(Ac ∩ B) ∪ (C ∪ D)c =
MATH 141-501 Quiz #9
(Take Home: Set Theory)
Name:
(1 point) Seat:
2. Fill in the table below. (1 point)
Set
Number of Elements Number of Subsets Number of Proper Subsets
∅
{1}
{1, 2}
{1, 2, 3}
Based on the formula above, guess a formula for the number of subsets of a set with n elements?
(0.5 points)
Guess a formula for the number of proper subsets of a set with n elements? (0.5 points)
3. Let the universal set U be the set of all residents of Texas. Let C = {x|x owns a cat },
D = {x|x owns a dog}, H = {x|x owns a cowboy hat }, and T = {x|x owns a truck}. Create a
Venn diagram and a sentence to represent each of the following sets.
a.) (C c ∩ D) ∪ T
b.) (C ∩ T ) ∪ (D ∩ H c )
c.) (C ∪ D) ∩ (T ∪ H)c