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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
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
A
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
B
AUB = {1,2,3}
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
AUB
AՈB = {2}
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
AՈB
A՛ = {3,4}
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
A՛
B՛ = {1,4}
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
B՛
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}
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}
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}
AՈB ՛ = {1}
ε = {1,2,3,4}
A = {1,2}
B = {2,3}
A B
ε
1 2 3
4
AՈB
՛
B՛ = {1,4}
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}
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}
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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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