Slide 1 : Venn Diagrams Venn Diagrams are pictures that are used to illustrate intersections, unions, and other operations on sets.
Slide 2 : Venn Diagrams Venn Diagrams are pictures that are used to illustrate intersections, unions, and other operations on sets.
Slide 3 : Example: In a survey of 20 pet owners, 15 had dogs,
10 had cats and 7 had both. Dogs Cats
Slide 4 : Example: In a survey of 20 pet owners, 15 had dogs,
10 had cats and 7 had both. Dogs: 15 – 7 = 8 Cats: 10 – 7 = 3 8 3 7 8 + 7 + 3 = 18 20 – 18 = 2 Dogs Cats 2
Slide 5 : Example: In a survey of 40 students, 35 like math,
12 like English and 10 like both. Math: 35 – 10 = 25 English: 12 – 10 = 2 25 2 10 25 + 10 + 2 = 37 40 – 37 = 3 Math English 3
Slide 6 : Example: In a survey of 60 students, 53 like sports,
42 like music and 35 like both. Music: 53 – 35 = 18 Sports: 42 – 35 = 7 18 7 35 18 + 35 + 7 = 60 60 – 60 = 0 Music Sports
Slide 7 : Example: In a survey of 100 students, 78 like Opera,
55 like Bluegrass and 43 like both. Opera: 78 – 43 = 35 Bluegrass: 55 – 43 = 12 35 12 43 35 + 43 + 12 = 90 100 – 90 = 10 Opera Bluegrass 10
Slide 8 : Example: In a survey of 30 people, 24 like Fall,
26 like Spring and 22 like both. Fall: 24 – 22 = 2 Spring: 26 – 22 = 4 2 4 22 2 + 22 + 4 = 28 30 – 28 = 2 Fall Spring 2