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Intersection of sets This lesson will explain how to find the intersection of sets. We will start with a definition of the intersection of two sets. Union of sets. Recent Articles. Check out some of our top basic mathematics lessons. I am at least 16 years of age. I have read and accept the privacy policy. I understand that you will use my information to send me a newsletter. Enjoy this page?
The students who like both ice creams and brownies are Sophie and Luke. The cardinal number of a set is the total number of elements present in the set. Consider two sets A and B. Therefore, A and B are called disjoint sets. If set A is the set of natural numbers from 1 to 10 and set B is the set of odd numbers from 1 to 10, then B is the subset of A. Venn Diagrams are diagrams used to represent or explain the relationship between set operations.
Venn diagrams use circles to represent each set. Overlapping circles denote that there is some relationship between two or more sets, they have common elements, whereas circles that do not overlap do not share any common elements.
The following diagram shows the intersection of sets using a Venn diagram. As we have properties for numbers, the intersection of sets also has some important properties. The following table lists the properties of the intersection of sets. This is known as the intersection of sets. For any two sets A and B, the union of sets, which is denoted by A U B, is the set of all the elements present in set A and the set of elements present in set B or both. In this two sets, the elements 3 and 5 are common.
The set containing these common elements i. Solved examples to find intersection of two given sets:. Find intersection of two set A and B. Therefore, 4, 6 and 8 are the common elements in both the sets. Find intersection of two given sets X and Y. Intersection of a set is commutative, i.
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