Week 12 Unit 9 Sets and Venn Diagrams

• Mathematics
• Secondary Education

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

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'.

Empty Set 

Examples: 

1. Odd numbers that are multiples of two.

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

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' = {                                                 }

Unions and intersections

For example:

If A = { 4, 6, 8, 10}  and  B = { 6, 10, 12, 14}

                              = {                                                                             }

                               = {                                                                            }      

Subsets

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

The symbol is 

                              = {                                                                             }

                               = {                                                                            }      

Unions and intersections

For example:

If A = { 4, 6, 8, 10}  and  B = { 6, 10, 12, 14}

                              = {                                                                             }

                               = {                                                                            }      

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

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

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

IRRATIONAL NUMBERS