n ( A and B ) = n ( A ∩ B ) = n ( A B − ) + n ( A B + ) = 1 + 3 = 4. This can be written symbolically as n ( A and B ) = n ( A ∩ B ) = n ( A B − ) + n ( A B + ) = 1 + 3 = 4. Add up the number of people in these two regions to get the total: 1 + 3 = 4. The two circles overlap in the regions labeled A B − A B − and A B +. To have both blood type A and blood type B, a person would need to be in the intersection of sets A A and B B.This would be everyone outside the Rh + Rh + circle, or everyone with a negative Rh factor, n ( R h − ) = n ( O − ) + n ( A − ) + n ( A B − ) + n ( B − ) = 7 + 6 + 1 + 2 = 16.Thus, 54 people donated blood that Julio can accept. To determine the number of people who did not have a type A blood factor, use the following property, A ′ A ′ union is equal to U U, which means n ( A ) + n ( A ′ ) = n ( U ), n ( A ) + n ( A ′ ) = n ( U ), and n ( A ′ ) = n ( U ) − n ( A ) = 100 − 46 = 54. In part 1, it was determined that the number of donors with a type A blood factor is 46.It will be the union of sets A −, A +, A B − and A B +. The number of people who donated blood with a type A blood factor will include the sum of all the values included in the A circle.If a person did not have any of these three blood factors, then their blood type would be O −, O −, and they would be in the set ( A ∪ B ∪ R h + ) ′ ( A ∪ B ∪ R h + ) ′ which is the region outside all three circles. In the Venn diagram, they would be in the intersection of all three sets, A ∩ B ∩ R h +. For example, if a person has all three blood factors, then their blood type would be AB + AB +. The Rh factor is indicated with a + + or a − −. If an individual has blood factor A or B, those will be included in their blood type. The following background information about blood types will help explain the relationships between the sets of blood factors. In the next example, we will explore the three main blood factors, A, B and Rh. It is recommended that you explore this application to expand your knowledge of Venn diagrams prior to continuing with the next example. The set difference operation, − −, is available in the Venn Diagram app, although this operation is not covered in the text.The complement of set A A in this text is written symbolically as A ′ A ′, but the Venn Diagram app uses A C A C to represent the complement operation.The Venn Diagram application uses some notation that differs from the notation covered in this text. Venn Diagrams with Three Setsīelow is a Venn diagram with two intersecting sets, which breaks the universal set up into four distinct regions.įigure 1.35 Google Play Store image of Venn Diagram app. In this section, we will extend our knowledge of set relationships by including a third set.Ī Venn diagram with two intersecting sets breaks up the universal set into four regions simply adding one additional set will increase the number of regions to eight, doubling the complexity of the problem. As we start working with larger data sets, the analysis becomes more complex. Have you ever searched for something on the Internet and then soon after started seeing multiple advertisements for that item while browsing other web pages? Large corporations have built their business on data collection and analysis.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |