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A set is a collection of numbers or objects. For example, if W is the set of the fi rst ten whole numbers then this can be written as: W {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} The whole numbers from 1 to 10 are the members of set W. A picture called a Venn diagram is used to represent sets and show the relationship between them.
In general, if S and T are sets then S ∩ T = {x|x∈ S and x∈ T}. A Venn diagram is a drawing in which geometric figures such as circles and rectangles are used to represent sets. One use of Venn diagrams is to illustrate the effects of set operations. The shaded region of the Venn diagram below corresponds to S ∩ T
Worksheet on operation on sets we will solve 10 different types questions on math sets. 1. Find the union of each of the following pairs of sets. (a) A = {2, 4, 6} B = {1, 2, 3}
Chapter 1. Sets. This section will show you how to: use set language and notation, and Venn diagrams to describe sets and represent relationships between sets. N Z R Q. Exercise 1.1. 1 E = = x. < x < x. = A < x. ′. = 2 E x. = x. = B x > = C x. A ∩ B. = 3 E x. ( A ∩ B ) ′ ∩ C. < x < x. x = P x. − x + = = Q x − < x ∈ P. 4 E = x. = A < x.
Math Article. Set Operations. The set operations are performed on two or more sets to obtain a combination of elements as per the operation performed on them. In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) Intersection of sets (∩) Difference of sets ( – )
Section 1.6: Venn Diagrams and set operations In this section we will be given Venn diagrams that have elements inside them. It is important to be able to create the sets described by a Venn diagram. Example: Write down the elements of the sets U, A and B. The elements of U are each number in the diagram. U = {1,2,3,4,5,6,7,8,9,10}
A set containing of all elements of U which are not the elements of the sets under consideration is called Universal set and is denoted by U. Or Universal set: A set containing the entire element under consideration in particular problem is called Universal set and is denoted by U. Operation on sets: 1.Union of two sets: Union set
