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Sets This section will show you how to: use set language and notation, and Venn diagrams to describe sets and represent relationships between sets. 1
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.
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}
SET INTERSECTION, SET UNION, SET COMPLEMENT: SUMMARY. The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets. S ∩ T = {x|x∈ S and x∈ T}. The union of two sets merges the two sets into one "larger" set. S ∪ T = {x|x ∈ S or x ∈ T}.
Set difference Definition: Let A and B be sets. The difference of A and B, denoted by A - B, is the set containing those elements that are in A but not in B. The difference of A and B is also called the complement of B with respect to A. • Alternate: A - B = { x | x A x B }. Example: A= {1,2,3,5,7} B = {1,5,6,8} • A - B ={2,3,7} U A B
So sets can consist of elements of various natures: people, physical objects, numbers, signs, other sets, etc. (We will use the words object or entity in a very broad way to include all these different kinds of things.) A set is an ABSTRACT object; its members do not have to be physically collected together for them to constitute a set.
This chapter introduces sets. In it we study the structure on subsets of a set, operations on subsets, the relations of inclusion and equality on sets, and the close connection with propositional logic.
