Venn Diagrams and Subsets (solutions, examples, videos)
Relationship Between Several Sets: INDEPENDENT. Are sets that are not related to each other. They may have some of the same items, but. When looking back at the Venn diagrams you created in grade school, to represent complex relationships and solve mathematical problems all the time. we can show where intersections between sets should be placed. Create a Venn Diagram to show the relationship among the sets. U is the set of Given the set P is the set of even numbers between 15 and Draw and label.
Venn diagrams enable students to organise information visually so they are able to see the relationships between two or three sets of items. They can then identify similarities and differences. How the strategy works A Venn diagram consists of overlapping circles.
Each circle contains all the elements of a set. Where the circles overlap shows the elements that the set have in common. Generally there are two or three circles. Any more and the exercise becomes very complicated.
Relationship in Sets using Venn Diagram | Venn diagram | Set Theory | Set
The following science example compares the features of bats and birds. The following is a maths example: What to do Creating a Venn diagram If the assessment focus is on organising information: Identify what items they want to compare e.
Label each circle Bird, Bat. In each circle, fill in the characteristics of each item.
Identify which characteristics appear in both circles. These characteristics go in the intersection where the two circles overlap. Sometimes features that don't fit in either set are included. These are placed outside the circles.
It is preferable that students then use their Venn diagram to compare the sets. For example, in the science example above, the universal set might be Animals that fly. The circles for birds and bats are then drawn inside the rectangle. Reading a Venn diagram If the assessment focus is to interpret a Venn diagram: Ask questions about the similarities and differences that the Venn diagram illustrates.
Ask questions about, or discuss the two sets. Relationship Between Several Sets: They may have some of the same items, but this is simply coincidence.
One circle represents the set of animals and the other circle represents the set of means of transportation. They do not have any relationship, so they are said to be independent sets. One circle represents the set of multiples of 5 and the other circle represents the set of multiples of 3. Notice that they do have some items in common multiples of 15but that is coincidence, because the basis on which the individual sets are formed are not related.
Group of animals in which there is an additional separation, those that can fly. Within the group of animals we have identified those that can also fly. Inside the set of multiples of 5, there is the set of multiples of These items form the intersection of the two sets. Two overlapping circles representing the sets of multiples of 5 and the multiples of 3.
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In the section of the common space between the two circles are numbers that are multiples of both. So we say that its items have the characteristics of one or the other set.
First with real items. The sets of transportation methods and animals are bounded by a common figure representing the union of the two sets.
The multiples of 5 and 3 sets are bounded by a common figure representing the union of the two sets. Not like the intersection, which includes only those that are multiples of 5 and 3.
- Sets and Venn Diagrams
- Venn diagram
- Venn Diagrams