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Venn diagrams 2&3 circles with sets
1.
AUB = {1,2,3} AՈB
= {2} A՛ = {3,4} B՛ = {1,4} A՛UB = {2,3,4} A՛ՈB = {3} AUB՛ = {1,2,4} AՈB ՛ = {1} A՛UB՛ = {1,3,4} = (AՈB)՛ = {1,3,4} A՛ՈB՛ = {4} = (AUB)՛ = {4} ε = {1,2,3,4}, A = {1,2}, B = {2,3} A B ε 1 2 3 4
2.
ε = {1,2,3,4} A
= {1,2} B = {2,3} A B ε 1 2 3 4 A
3.
ε = {1,2,3,4} A
= {1,2} B = {2,3} A B ε 1 2 3 4 B
4.
AUB = {1,2,3} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 AUB
5.
AՈB = {2} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 AՈB
6.
A՛ = {3,4} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 A՛
7.
B՛ = {1,4} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 B՛
8.
A՛UB = {2,3,4} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 A՛U B A՛ = {3,4}
9.
A՛ՈB = {3} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 A՛ՈB A՛ = {3,4}
10.
AUB՛ = {1,2,4} ε
= {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 AUB՛ B՛ = {1,4}
11.
AՈB ՛ =
{1} ε = {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 AՈB ՛ B՛ = {1,4}
12.
A՛UB՛ = {1,3,4}
= (AՈB) ՛ = {1,3,4} ε = {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 A՛UB՛ = (AՈB)՛ A՛ = {3,4} B՛ = {1,4}
13.
A՛ՈB՛ = {4}
= (AUB) ՛ = {4} ε = {1,2,3,4} A = {1,2} B = {2,3} A B ε 1 2 3 4 A՛ՈB՛ = (AUB)՛ A՛ = {3,4} B՛ = {1,4}
14.
ε = {1,2,3,4,5} A
= {1,2} B = {3,4} A B ε 1 2 3 4 5 Disjoint Sets
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