Union Of Sets Using Venn Diagram
If you re not clear on the logic of the set notation review set notation before proceeding further.
Union of sets using venn diagram. Let us consider a universal set u such that a and b are the subsets of this universal set. Learn how to represent the union of sets using venn diagram. 40 15 15 15 5 10 0 100. In a town 85 of the people speak tamil 40 speak english and 20 speak hindi.
The set of all elements being considered is called the universal set u and is represented by a rectangle. Number of elements in set 2 sets direct number of elements in set 2 sets using properties number of elements in set 3 sets. Do you see that alex casey drew and hunter are in the soccer set. Union of 2 sets.
Intersection of sets difference of sets. It explains how to fin. A venn diagram is clever because it shows lots of information. And here is the clever thing.
Since union means everything in either of the sets all of each circle is shaded in. Proof where properties of sets cant be applied using element. Proof using properties of sets. So the number of students enrolled in at least one of the subjects is 100.
From the above venn diagram number of students enrolled in at least one of the subjects. Venn diagram of union of sets. The union of the set is denoted by the symbol. The union set operations can be visualized from the diagrammatic representation of sets.
On a venn diagram the union of sets a and b is every element within the. The rectangular region represents the universal set u and the circular regions the subsets a and b. The intersection of sets a and b is the set of elements which are in both a and b. The union of two sets a and b is defined as the set of all the elements which lie in set a and set b or both the elements in a and b altogether.
And that casey drew and jade are in the tennis set. The venn diagram above illustrates the set notation and the logic of the answer. Casey and drew are in both sets. This is written as a b.
The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets. The intersection is written as a b. The union of sets a and b is the set of elements which are in a or b or both. On a venn diagram the intersection of sets a and b is the part where the.