1.  Objectives: To write sets and identify subsets To find the complement of a set Section 3 – 5 Working With Sets

2.   A collection of distinct elements Set: Subset:  Contains elements from a set

3.  Writing Sets Roster Form Set-Builder Notation  Lists the elements of a set within braces { } Example:  Describes the properties of the elements in the set Example:

4.  How do you write “T is the set of natural numbers that are less than 6” in roster form? In set-builder notation? Problem # 1 Using Roster Form & Set-Builder Notation

5.  N is the set of even natural numbers that are less than or equal to 12. How do you write N in roster form? How do you write N in set-builder notation? Problem # 1 Got it?

6.  a)How do you write the solutions of -5x+7 ≤ 17 in set-builder notation? Problem # 2 Inequalities and Set-Builder Notation

7.  b)How do you write the solutions of 9 – 4n > 21 in set-builder notation? Problem # 2 Inequalities and Set-Builder Notation

8.  In set-builder notation, how do you write the solutions of -4x + 3 < 15? Problem # 2 Got it?

9. 

10.  Empty Set:

11.  a) What are the subsets of the set {3, 4, 5}? Problem # 3 Finding Subsets

12.  b) What are the subsets of the set {1, 2}? Problem # 3 Finding Subsets

13. 

14.  What are the subsets of the set P = {a, b, c}? Problem # 3 Got It?

15.   The largest set you are using Universal Set: Complement of a Set:  The set of all elements in the universal set that are not in the set. *The complement of A is A’

16.  a) Universal Set U = {months of the year} and set A = {months with exactly 31 days}. What is the complement of set A? Write your answers in roster form. Problem # 4 Finding the Complement of a Set

17.  b)Given that the universal set U = {car, truck, van, school bus, bicycle} and the set A is the set of all vehicles that have 4 wheels, what is the complement of set A? Problem # 4 Finding the Complement of a Set

18.  c) Universal Set U = {1, 2, 3, 4, 5} and set A = {2, 3}. What is A’? Problem # 4 Finding the Complement of a Set

19.  Universal Set U = {…-3, -2, -1, 0, 1, 2, 3, …} and set A = {…-3, -1, 1, 3, …}. What is A’? Problem # 4 Got it?

20.   3 – 5 Worksheet Homework Assignment Textbook Page 204 – 205; #23 – 34 All

21.  Homework Answers

22.   Used to describe an interval on the number line, using three special symbols:  Parenthesis:  Brackets:  Infinity: Interval Notation:

23.  a)What is the graph of [-4, 6)? How do you write [-4, 6) as an inequality? b)What is the graph of (-∞, 2]? How do you write (-∞, 2] as an inequality? Problem # 5 Using Interval Notation

24.  c)What is the graph of x ≤ -1 or x > 2? How do you write x ≤ -1 or x > 2 in interval notation? d)What is the graph of x < -2 or x ≥ 1? How do you write x < -2 or x ≥ in interval notation? Problem # 5 Using Interval Notation

25.  1.What is the graph of (-2, 7]? How do you write (-2, 7] as an inequality? 2.What is the graph of y > 7? How do you write y > 7 in interval notation? Problem # 5 Got it?

26.  Classwork Assigment

27.  Textbook Page 204 – 205; #23 – 34 All Homework Assignment