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