Week 12 Unit 9 Sets and Venn Diagrams

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Slide 1: Slide
MathematicsSecondary Education

This lesson contains 12 slides, with interactive quizzes and text slides.

Items in this lesson

Slide 1 - Slide

Elements of a Set
It is placed inside { }.
Examples: 
1. The set of all even integers greater than 0 but less than 11.

2. The set of vowels

Slide 2 - Slide

Elements of a Set
It is placed inside { }.
Examples: 
3. B is the set of prime numbers less than 10.

4. A is the set of letters in the word 'HAPPY'.

Slide 3 - Slide

Empty Set 
Examples: 
1. Odd numbers that are multiples of two.

4. A is the set of letters in the word 'HAPPY'.

Slide 4 - Slide

Set Complements 
Example: 
Universal set or sample space E = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}  and A = {2, 4, 6, 8}
the the complement of A would be A' = {                                                 }

Slide 5 - Slide

Unions and intersections
For example:
If A = { 4, 6, 8, 10}  and  B = { 6, 10, 12, 14}

                              = {                                                                             }

                               = {                                                                            }      

Slide 6 - Slide

Subsets
When A happens/contains in B then A is a subset of B
The symbol is 

                              = {                                                                             }

                               = {                                                                            }      

Slide 7 - Slide

Unions and intersections
For example:
If A = { 4, 6, 8, 10}  and  B = { 6, 10, 12, 14}

                              = {                                                                             }

                               = {                                                                            }      

Slide 8 - Slide

A = { 2, 4, 6, 8, 10} and B = { 1, 3, 5, 6, 8, 10}
List the elements of

Slide 9 - Open question

A = { 2, 4, 6, 8, 10} and B = { 1, 3, 5, 6, 8, 10}
List the elements of

Slide 10 - Open question

A = { 2, 4, 6, 8, 10}, B = { 1, 3, 5, 6, 8, 10} and C ={2, 9}
List the elements of

Slide 11 - Open question

IRRATIONAL NUMBERS

Slide 12 - Slide