1. Sets & Set Notation

2. 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.

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

4. What is the set of all fingers?

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

6. Let M = set of the days of the week.

7. Let X = the set of odd numbers less than 12

8. 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:

9. U = {a, b, c, d, e, f, g, h, i, j, k, l, m} A = {a, c, e, g, i, k, m} B = {b, d, f, h}

10. U = {a, b, c, d, e, f, g, h, i, j, k, l, m} A = {a, c, e, g, i, k, m} B = {a, b, c, d, e, f}

11. U = {a, b, c, d, e, f, g, h, i, j, k, l, m} A = {a, b, d, e, h, j, m} B = {a, d, e, f, g, h, k} C = {b, c, f, h, l}

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

13. A = {letters in the word mathematics} B = {letters in the word problem}
Find A  B

14. Find: B  C= C  D = B  D= B  C  D =
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  D=
B  C  D =

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

16. A = {letters in the word mathematics} B = {letters in the word problem}
Find A  B

17. Find: B  C= C  D = B  D= B  C  D =
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  D=
B  C  D =

18. Shade A  B

19. Shade A  B

20. Shade A  B  C

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

22. 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}

23. There are 18 bikes in a parking lot
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?

24. A case of chocolate contains 15 chocolate bars
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?

26. Homework
Worksheet