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A set can be a defined by a list.
Set theory and venn diagrams pdf. Most of the set thoery formulas of cat in this section can be deduced logically with little effort. Note to the teacher this is an important lesson. While solving pay careful attention to phrases like and or. Set theory example 1 3 4.
A set is denoted by a capital letter. The set of all elements being considered is called the universal set u and is represented by a rectangle. Notation for setting out calculations so that counting problems such as this can be sorted out. Why is the number 10 missing from this venn diagram.
The complement of a is denoted a. Furthermore any time parentheses are involved a notation statement that piece of the corresponding venn diagram is shaded first. Since the data refers to two categories we will use a two circle diagram. Let e be the set of people who believe that elvis is still alive.
A venn diagram is useful in organizing the information in this type of problem. Let u be the set of people who were surveyed. Operations on sets and venn diagrams objectives. The concepts of intersection union and complement as well as the corresponding notation are also used in venn diagrams as we can shade parts of a diagram to represent a certain set.
Do not skip it. A set is a collection of items which can be letters numbers or any random objects. Let a be the set of people who believe that they have been abducted by space. Venn diagrams illustrating the sets a b c and a b c.
In this lesson you are expected to. The following diagrams show the set operations and venn diagrams for complement of a set disjoint sets subsets intersection and union of sets. Each item in the set. The purpose of this module is to introduce language for talking about sets and some.
A set can be described ɛ denotes the universal set. Sets and venn diagrams. This is the set containing all of the elements being considered. The venn diagram makes the situation easy to visualise.
Scroll down the page for more examples and solutions. The emphasis should be made while translating the sentences into areas of the venn diagram. The venn diagram opposite displays the whole situation. Apply set operations to solve a variety of word problems.
A b ca b c given a a subset of u thecomplement of a is the subset of u consisting of all elements not in a. Mark kudlowski set theory from 2017 this is an introduction to the theory of sets and the use of venn diagrams. Solve word problems involving sets with the use of venn diagrams 2.
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