Venn Diagrams PDF

# 1.3 Diagramas de Venn A Venn diagram is a universal set represented by a rectangle, and its subsets are usually represented by circles. ## Los diagramas de Venn se utilizan frecuentemente para representar operaciones con conjuntos. * The central section enclosed by both sets would be the interse...

# 1.3 Diagramas de Venn A Venn diagram is a universal set represented by a rectangle, and its subsets are usually represented by circles. ## Los diagramas de Venn se utilizan frecuentemente para representar operaciones con conjuntos. * The central section enclosed by both sets would be the intersection of the sets, since it's what they have in common. * To represent a set or an operation, various regions can be shaded. The shaded region is the result of operations like complement or intersection. ### Conjuntos Básicos (Basic sets) * Keep in mind that in both cases, the shaded region overlaps one part of the other set. * This is because the set is represented by the entire circle, and it's normal to have elements shared by both. ### Complementos * When shading complements of a set. It is important to NOT shade the middle region (intersection). This would include elements that belong to both sets. ### Los operadores básicos de conjuntos con diagramas de Venn (Basic set operators with Venn diagrams) * **A ∩ B** - What they have in common * **A ∪ B** - The two sets together #### 1. A= #### 2. B= #### 3. A'= #### 4. B'= ## Problems of application 1. In a group of 200 people, 90 play tennis, 120 play football and 30 play both. a) Draw and completely label a Venn diagram to illustrate this information. b) How many people practice only football? c) How many people play both sports? d) How many people practice only tennis? e) How many people don't play any sport? f) How many people play at least one sport?