Math 211 Sets Practice Worksheet
Part 1:
Shade the region of the Venn Diagram indicated by the following sets.
(i)
A
B
(ii)
A
C
Shade:
(iii)
C
(A’ B)  C
A
(A  B)’  C
B
(iv)
A
C
Shade:
(v)
Shade:
B
C
A  (C’  B)
A
B
B
(A  B’)  C
(vi)
A
B
C
C
A’  (C’  B)
(A  B’)’  C
Part II: Write down the elements in the following sets.
Let U = {0,1,2,3,4,5,6,7,8,9,10}; A = {0,1,2,3,5,8}; B={0,2,4,6}; C = {1,3,5,7}
i) A  B =
ii) B’ =
iii) A  B’ =
iv) B  C =
v) B  C’ =
vi) A’  C =
vii) (A’  C)  B =
viii) (AB)’ =
ix) (A  C)  B
x) Write down a subset of A =
Part III: Refer to the diagram to answer the questions below.
A
1
B
2
3
4
What set notation would you use to represent the following regions? (I.e. if those regions
were shaded, what set notation would you use to identify the shaded region). Hint – make
a separate sketch for each.
Example: Region 3 could be written as A  B
i) Region 1,2 and 4 (i.e. imagine all region 1, 2 and 4 were shaded):
ii) Region 2 only:
iii) Region 1 only:
iv) Region 1 and 4:
Part IV: Refer to the diagram to answer the questions below.
A
B
8
2
3
7
W 6
h
4
a
1
tC
W
s
h you use to represent the following regions? (I.e. if those regions
What set notation would
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a notation would you use to identify the shaded region).
were shaded, what set
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i) Region 7 only: so
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ii) Region 1 only: nt
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iii) Regions 1 and 4:an
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iii) Region 1 only: oo
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iv) Regions 4,5, 6, 7w
d& 8
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5
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