SETS SET NOTATION Set It is a collection

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SETS & SET NOTATION

SETS & SET NOTATION

Set • It is a collection of objects that have something in common or

Set • It is a collection of objects that have something in common or follow a rule. • The objects in the set are called its elements. • Set notation uses curly braces, with elements separated by commas.

A = {coat, hat, scarf, gloves, boots}, • Set A has 5 elements. •

A = {coat, hat, scarf, gloves, boots}, • Set A has 5 elements. • Coat A

What is the set of all fingers?

What is the set of all fingers?

What is the set of even numbers between 0 and 10?

What is the set of even numbers between 0 and 10?

Let M = set of the days of the week.

Let M = set of the days of the week.

Let X = the set of odd numbers less than 12

Let X = the set of odd numbers less than 12

B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} C =

B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} C = {2, 4, 6, 8, 10} • Subset – is part of a set. • Set C is a subset of set B. • We call set B the universal set…Venn Diagram is:

Union • It is the joining of all elements of two or more sets

Union • It is the joining of all elements of two or more sets • It is represented as A B.

A = {letters in the word mathematics} B = {letters in the word problem}

A = {letters in the word mathematics} B = {letters in the word problem} • Find A B

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {set of odd numbers} C = {multiples of three} D = {Multiples of four} Find: B C= C D= B C D=

Intersection • This consists of the elements that the sets have in common. •

Intersection • This consists of the elements that the sets have in common. • It is represented as A B.

A = {letters in the word mathematics} B = {letters in the word problem}

A = {letters in the word mathematics} B = {letters in the word problem} • Find A B

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {set of odd numbers} C = {multiples of three} D = {Multiples of four} Find: B C= C D= B C D=

Shade A B

Shade A B

Shade A B

Shade A B

Shade A B C

Shade A B C

Complement • Consists of the elements not in that set. • Represented as A’

Complement • Consists of the elements not in that set. • Represented as A’ • Read “not A”

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A =

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = { 2, 4, 6, 8, 10} B = {1, 2, 3, 4, 5, 6, 7}

There are 18 bikes in a parking lot. 7 are gas powered and 5

There are 18 bikes in a parking lot. 7 are gas powered and 5 are electric powered. 2 bikes are powered by both gas and electric. How many bikes in the parking lot are not powered by anything?

A case of chocolate contains 15 chocolate bars. The chocolates come in three varieties:

A case of chocolate contains 15 chocolate bars. The chocolates come in three varieties: milk, dark, and milk/dark mix. 6 milk chocolates and 3 dark chocolates become expired. How many of the milk chocolates are expired if there are 6 milk chocolates that are not expired?

• http: //www. univie. ac. at/moe/tests/mengen/duv. html

• http: //www. univie. ac. at/moe/tests/mengen/duv. html

Homework • Worksheet

Homework • Worksheet

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