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A set of exercises focused on set theory within the realm of discrete mathematics. It includes problems involving the representation of sets and their operations (union, intersection, difference) using venn diagrams. The exercises are designed to reinforce understanding of basic set theory concepts and their visual representation, making it a useful resource for students studying discrete mathematics or related fields. Detailed solutions and examples to aid comprehension.
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Ejercicios propuestos Ejercicios 01 Considerar los conjuntos A = {x | x < 10, x ∈ N} B = {2x | x < 8, x ∈ N} Empleando diagramas de Venn representar: a) A ∪ B b) A ∩ B c) B ∖ A A= {1,2,3,4,5,6,7,8,9} B= { 2 ,4,6,8,10,12,14} a) A U B = {1,2,3,4,5,6,7,8,9,10,12,14} 2 4 6 8 1 3 5 7 9 10 12 14 A B
Ejercicios 02 Considerar los conjuntos A = {2,4,6,8,10,12} B = {1,3,5,7,9,11} Empleando diagramas de Venn representar: a) A ∪ B = {1,2,3,4,5,6,7,8,9,10,11,12} b) A ∩ B = Ø c) A ∖ B = {2,4,6,8,10,12} 2 4 6 8 10 12 1 3 5 7 9 11 2 4 6 8 10 12 A B A B
d) B ∖ A = {1,3,5,7,9,11} Ejercicios 03 Considerar los conjuntos A = {2x-1 | 1 < x < 5, x ∈ N} B = {x | 2 < x < 8, x ∈ N} C = {x | - 5 < x < 4, x ∈ N}. Empleando diagramas de Venn representar: a) A ∪ B \ C = {4,5,6,7} 1 3 5 7 9 11 A B