102 - Naming Sets And Types Of Sets 381k60

SETS Naming Sets Types of Sets

Well – defined or not? The set of months in a year. The set of large numbers.

The set of most interesting students in this class The set of continents in the world

A={4, 8, 12, 16} Give two elements of set A. What is n(D)? Give one subset of D.

How many subsets does set D have?

HOMEWORK: CHECK YOUR OWN PAPER. 1. 2. 3. 4. 5.

Well defined Not well defined Well defined Well defined Not well defined

QUESTIONS?

3 WAYS TO INDICATE A SET 1. Roster Method (Listing) 2. Rule Method 3. Set Builder Notation

The set of months in a year By roster method: A={January, February, March…December List all the elements of the set. Use ellipsis if there are too many elements.

The set of months in a year By Rule Method A is the set of months in a year Describe the common property of the elements in a set without enumerating the elements.

The set of months in a year By Set Builder Notation A={x | x is a month in a year} A is the set of all elements of x such that x is a month in a year.

Treat each element as x. State the condition. x must satisfy the condition

CONTINENTS IN THE WORLD B = {Africa, Antartica, Asia, Australia, Europe, North America, South America} B is the set of continents in the world B = {x | x is a continent}

DEFINTION C = {1} D = {green} E = {Madagascar}

UNIT SET A set with only one element. Its cardinality is always 1 How many subsets does a unit set have?

DEFINTION

F={} EMPTY SET OR NULL SET A set that has no elements. Its cardinality is always 0. It is symbolized by Ø or { }. How can’t manywe subsets null seta Why use { does Ø } toa denote have? null set?

DEFINTION G = {2, 4, 5, 6} H = {a,b,c} I = {11, 12, …20}

FINITE SET A set whose elements can be counted. What is the n (E) ?

DEFINTION J = {2, 4, 5, 6,…} K = {a,b,c,…} L = {11, 12, 13,…}

INFINITE SET A set whose elements cannot be counted. It has an unlimited number of elements

What is a unit set? What is a null set? How is infinite set different from a finite set?

DEFINTION

L = {2, 4, 6} M = {4,5,6,7} T SETS Sets with common elements What are the common elements of L and M?

DEFINTION

N = {12, 14, 16} O = {11,13,15,17} DIST SETS Sets without common elements.

DEFINTION P = {a, b, c, d} Q = {b, c, d, a} R = {d, a, c, b} EQUAL SETS Sets with exactly the same elements regardless of the order.

DEFINTION S = {1, 2, 3, 4} T = {a, b, c, d} EQUIVALENT SETS Sets with exactly the same cardinality. How are equivalent sets different from equal sets?

What are a t sets? What are a dist sets? What are equal sets? What are equivalent sets?

Practice Exercises B and C.

HOMEWORK: CHECK YOUR OWN PAPER. A. 1. 2. 3. 4. 5.

8 1 2 16 64

B. 1. X = {6,7,8,9,10,11} 2. M = {x | x is a multiple of 10} 3. T is the set of three basic needs of a person

SYNTHESIS [Journal]: Write 3 important points that you learned about today’s topic.