The number of animals in a herd can be counted with the stones in a sack without the actual members being counted. The usage of sets must have been older than the use of numbers itself.
Hence, the number of students who study Science or MathĪ set can be defined as a collection of elements or items which can be mathematical like functions, numbers or it may not be mathematical. Number of students who study science or mathematics Hence, the number of students who study Mathematics but not Science are 20. Here, we are required to find the difference of sets Y and X. Number of students studying mathematics but not science. Hence, the number of students who study Science but not Mathematics are 90. Here, we are required to find the difference of sets X and Y. Number of students studying science but not mathematics
The venn diagram denotes the number of students studying both Science and Mathematics. Let x represent the set of students studying Science and set Y represent the students studying Mathematics. The total number of students denotes the cardinal number of the universal set. Among them, 120 students study science, 50 students mathematics, and 30 students study both science and mathematics. There are a total number of 200 students in Class XI. Let us understand the union of set with an example say, set P Ĭardinal number of P = Number of elements in P = 7Ĭardinal number of Q= Number of elements in Q = 3Ĭardinal number of union of two sets = Number of total elements in both the sets = 10Ĭardinal number of intersection of two sets= Number of elements in their intersection = 0 ( Null set).Ģ. The union of two sets P and Q is equivalent to the set of elements which are included in set P, in set Q, or in both the sets P and Q. The intersection of sets is any region including the elements of both A and B. The union of set is any region including elements of either A or B Now we will place the values in appropriate places. To learn union and intersection through Venn diagram, we will represent sets with circles as shown below: Venn diagrams are specifically used in set operation as they give us visual information of the relationship involved. Venn diagrams are helpful in representing relationships in statistics, probability, and many more. If we have two or more sets, we can construct a Venn diagram to represent the relationship among these sets as well as the cardinality of sets. The venn diagram of union and intersection is discussed below.Ī venn diagram is a diagram that represents the relation between and among a finite group of sets. P and Q is the set that includes all the elements that are common to both P and Q.Ī great way of learning Union And Intersection of Sets is by using Venn diagrams.
We can say that the intersection of two given sets i.e.
The symbol used to represent the intersection of set is ∩. This is the set of all different elements that are included in both P and Q. The intersection of two set P and Q is represented by P ∩ Q. The symbol used to represent the union of set is ∪. This is the set of all different elements that are included in P or Q. The union of two sets P and Q is represented by P ∪ Q.
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