Use Venn Diagram To Represent The Union And Intersection Of Sets
Using your knowledge of intersections and unions draw venn diagrams to represent the following information.
Use venn diagram to represent the union and intersection of sets. This math video tutorial provides a basic introduction into the intersection of sets and union of sets as it relates to venn diagrams. The set of all elements being considered is called the universal set u and is represented by a rectangle. Use parentheses union intersection and complement. Venn diagram shading calculator or solver.
Try the free mathway calculator and problem solver below to practice various math topics. Perform the operations of union intersection complement and difference on sets using proper notation. It explains how to fin. In a town 85 of the people speak tamil 40 speak english and 20 speak hindi.
The intersection shows what items are shared between categories. The intersection of sets a and b is the set of elements which are in both a and b. You can also use venn diagrams for 3 sets. Scroll down the page for more examples and solutions.
The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4 let a be the set containing the numbers 1 and 2. On a venn diagram the intersection is the part where the circles representing the sets overlap. 40 15 15 15 5 10 0 100.
From the above venn diagram number of students enrolled in at least one of the subjects. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. So the number of students enrolled in at least one of the subjects is 100. Let us say the third set is volleyball which drew glen and jade play.
A complete venn diagram represents the union of two sets. S means the set of soccer players. Volleyball drew glen jade but let s be more mathematical and use a capital letter for each set. Enter an expression like a union b intersect complement c to describe a combination of two or three sets and get the notation and venn diagram.
V means the set of volleyball players. Complement of a set. Remember that is an intersection and is a union. Intersection of two sets.
T means the set of tennis players. You can also have. The complement is whatever is not represented in a set. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets.