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Venn Diagrams: Shading & Set Operations Worksheet

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NAME:_______________________________________________
IB Math Studies Y1 9-10 Shading 2 Set Venn Diagrams
DATE:_________
PERIOD:_______
PART I: Shading 2 Set Venn Diagrams

Together: Shade the following Venn Diagrams:
𝐴∪𝐵
(A ∪ B)′
𝐴′ ∪ 𝐵
𝐴′ ∩ 𝐵
A∩B
(A ∩ B)′

You Try: Shade the following Venn Diagrams:
𝐵
𝐴′
𝐴 ∪ 𝐵′
𝐴 ∩ 𝐵′
𝐴′ ∪ 𝐵′
𝐴′ ∩ 𝐵′
PART II: Identifying 2 Circle Venn Diagrams
Now we are going to practice writing sets when given a shaded region of a Venn diagram.

We Try: Name the shaded region in the given Venn diagrams:

You Try: Name the shaded region in the given Venn diagrams:
NAME:_______________________________________________
IB Math Studies Y1
DATE:_________
PERIOD:_______
9-10 Homework
1. Shade in the Venn diagrams to represent the given sets:
𝐵′
𝐵∩𝐴
𝐴∪𝐵
𝐵 ∪ 𝐴′
𝐵 ∩ 𝐴′
(𝐴 ∩ 𝐵)′
2. Write down an expression to describe the shaded areas of each Venn diagram (answers may vary).
3. B and C are subsets of a universal set U such that
U = {x : x 
, 0  x  10}, B = {prime numbers 10}, C = {x : x 
(a) Represent the above information in a Venn diagram.
(b) List the members of sets
i.
𝐵
ii.
𝐶′
iii.
𝐵∩𝐶
iv.
𝐵∪𝐶
v.
(𝐵 ∩ 𝐶)′
vi.
(𝐵 ∪ 𝐶)′
vii.
𝐵 ∪ 𝐶′
viii.
𝐵 ∩ 𝐶′
, 1  x  6}.
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