1. MATH 110 Sec 2-3: Set Operations Practice Exercises
U = { a , b , c , d , e , f , g , h , i , j , k } A = { a , b , f , h , i , j } B = { a , c , d , h , j } C = { a , d , f , g , j }
Find:
A ∩ C =
A U C =
(A U C) ∩ B =

2. MATH 110 Sec 2-3: Set Operations Practice Exercises
U = { a , b , c , d , e , f , g , h , i , j , k } A = { a , b , f , h , i , j } B = { a , c , d , h , j } C = { a , d , f , g , j }
Find:
A' =
A ∩ A' =
A U A' =

3. MATH 110 Sec 2-3: Set Operations Practice Exercises
U = { hammer , moon , radio , muffin , cookie , chair , apple , fish , bread , grape } M = { x : x is human-made } E = { y : y is edible }
Find:
M ∩ E' =

4. MATH 110 Sec 2-3: Set Operations Practice Exercises
Indicate the region in the Venn diagram below in which the figure below would be placed.
Figures that
are shorter
across than this
pink circle
Blue Figures II I
III V IV VI
VII U
VIII
Circles

5. Represent (B ∩ C) ─ A as a Venn Diagram.
MATH 110 Sec 2-3: Set Operations Practice Exercises
Represent (B ∩ C) ─ A as a Venn Diagram.

6. MATH 110 Sec 2-3: Set Operations Practice Exercises
Use a combination of A , B , C , U , ∩ , and ' to describe the shaded region below. U A C B
The correct answer is:
A' ∩ (B U C)
(B U C)'∩ A
A ∩ (B U C)
(B ∩ C) U A

7. MATH 110 Sec 2-3: Set Operations Practice Exercises
Use the Venn Diagram below to find the cardinality of the set A ' ∩ B ' ∩ C ' U A B 3 7 9 21 12 16 18 19 C

8. MATH 110 Sec 2-3: Set Operations Practice Exercises
U = { a , b , c , d , e , f , g , h }
Car
Cost
Size
Warranty
Safety
Antitheft a
$22800
midrange
4 yrs
poor
YES b
$23900
good NO c
$17300
subcompact d
$21800
compact
Poor e
$18300
2 yrs f
$19800 g
$20900 h
$20200
W means “warranty is at least 3yrs”
G means “has good safety record”
W ∩ G‘ =