## Chapter 3 - Set Theory and Logic

**Prescribed Learning Outcomes:**

B2 – Solve problems that involve the application of set theory.

B3 – Solve problems that involve conditional statements.

## 3.1 - Types of Sets and Set Notation

Sets are used to organize groups of items. The video includes the definitions for many words that you will be using in studying sets as well as three examples of using sets to organize information.

Please watch the video on Set Notation.

Please do 3.1 page 154 #1-9.

Please watch the video on Set Notation.

Please do 3.1 page 154 #1-9.

## 3.2 - Exploring Relationships between Sets

A Venn diagram shows the relationships between elements in a set. Please watch the overlapping Venn diagram video.

Please do 3.2 page 160 #1-5.

Please do 3.2 page 160 #1-5.

## 3.3 - Intersection and Union of Two Sets

This section explains more types of two set Venn diagrams. Please watch the intersection and union video.

Please read the examples on pages 164-170 in the text book.

Please do 3.3 page 172 #4-16.

Please read the examples on pages 164-170 in the text book.

Please do 3.3 page 172 #4-16.

## 3.4 - Applications of Set Theory

Venn diagrams can be made up of more than two circles. This section introduces the use of Venn diagrams with three circles to solve problems. Please watch the application of set theory video.

Please read examples 2-4 on pages 182-189 in the text book.

Please do 3.4 page 191 #3-9.

Please read examples 2-4 on pages 182-189 in the text book.

Please do 3.4 page 191 #3-9.

## 3.5 - Conditional Statements and Their Converse

This section has many definitions so the video starts with these - please be prepared to write them down.

A conditional statement is just a statement that can be written as: If "this event" happens, then "this other event" will happen. A converse statement is one that reverses the order for a conditional statement: If "this other event" happens, then "this event" will happen.

Please watch the conditional and converse statement video.

Please do 3.5 page 204 #4-6, 8-14a.

A conditional statement is just a statement that can be written as: If "this event" happens, then "this other event" will happen. A converse statement is one that reverses the order for a conditional statement: If "this other event" happens, then "this event" will happen.

Please watch the conditional and converse statement video.

Please do 3.5 page 204 #4-6, 8-14a.

## 3.6 - The Inverse and the Contrapositive of Conditional Statements

Both the inverse and the contrapositive of conditional statements are created by writing the negative version of the hypothesis and conclusion. Please watch the inverse and contrapositive video.

Please do 3.6 page 215 #5-12.

Please do 3.6 page 215 #5-12.