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Set operations and Venn diagrams. A B = { x | x A and x B }. This is the intersection of A and B. A B = { x | x A or x B }. This is the C. With each number, place it in the appropriate region. Check out the Venn diagram and make sure you agree with where all the elements have been placed. 1. 2. 3. 5. 6. 7. 8. 9. 4. Sets and the
PART 1 MODULE 2. SET OPERATIONS, VENN DIAGRAMS. SET OPERATIONS. Let U = {x|x is an English-language film}. Set A below contains the five best films according to the American Film Institute. A = {Citizen Kane, Casablanca, The Godfather, Gone With the Wind, Lawrence of. Arabia}. Set B below contains the five
diagrams to be able to talk sensibly about sets. In our ordinary language, we try to make sense of the world we live in by classifying collections of things. English . and is usually given the symbol E. In a Venn diagram, the universal set is generally drawn . The union A B is the set of all elements belonging to A or to B.
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
3.4 Set Operations. Given a set A, the complement (in the Universal set U) Ac is the set of all elements of U that are not in A. So Ac = {x | x /? A}. B. U. A. (This type of picture is called a Venn diagram.) Example 39 Let A = {1,2,3}. If U = N then Ac = {4,5,6, }. If U = Z then Ac = {,?2,?1,0,4,5, }. So, again, the Universal set is
Set Theory and Venn Diagrams. A set is a well defined collection of distinct objects, called elements. A set is denoted by a capital letter. A set can be a defined by a list. A set can be described. ? - denotes the universal set. This is the set containing all of the elements being considered. Why is the number 10 missing from.
The English logician John Venn (1834 – 1923) introduced his famous eponymous diagrams in the late 19th century to illustrate relationships between sets and provide a pictorial understanding of set operations. Venn diagrams remain, to this day, powerful tools in elementary set theory because they account for all the
What is a Set? A set is a collection of distinct objects. Example: {Book, Chair, Pen}. In a set, order does not matter. Example: {Book, Chair, Pen} = {Pen, Book, Chair}. Your Venn Diagram is made of 3 sets of words describing you and your partners
A set can be visualized using Venn Diagrams: – V={ A, B, C }. U. A. B. C. M. Hauskrecht. CS 441 Discrete mathematics for CS. A Subset. • Definition: A set A is said to be a subset of B if and only if every element of A is also an element of B. We use A ? B to indicate A is a subset of B. • Alternate way to define A is a subset of
9 Jul 2006 Venn Diagrams. We can visual subsets of a universal set, and how they interact/overlap, using Venn diagrams, as shown below. On the left, the brown shaded region is A n B. It is also. (A/ U B/)/. On the right, the shaded area is A n B.
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