Putting Things Together
- Author:
- Jaime Dianzon
- Topic:
- Algebra, Set Theory, Terms
Or do you prefer putting things together?
OBJECTIVE: To learn set operations
In previous lessons, you learned set vocabulary—definition and classification of sets, methods of naming sets, cardinality and comparison of sets, and definition and classification of subsets.
Setting the Table: https://www.geogebra.org/m/eqajxyqr
Counting with Your Fingers: https://www.geogebra.org/m/kmqughqr
Taking Things Apart: https://www.geogebra.org/m/zjna6wa9
In this lesson, you're going to learn about operations involving sets.
SET VOCABULARY
The sets below will be used to cite examples for the new set vocabulary.
Given: A = {1, 2, 3, 4, 5}
B = {3, 4, 5, 6, 7}
C = {1, 3, 5, 7}
D = {2, 4, 6}
NOTE: A and B are joint sets; C and D are disjoint sets.
Union of Two Sets—set containing all the elements contained in either set or both sets, denoted by ∪
Examples: A ∪ B = {1, 2, 3, 4, 5, 6, 7}, C ∪ D = {1, 2, 3, 4, 5, 6, 7}
Intersection of Two Sets—set containing only the elements contained in both sets, denoted by ∩
Examples: A ∩ B = {3, 4, 5}, C ∩ D = { } or ∅
Difference of Two Sets—set containing the elements contained in one set, but not in the other set, denoted by -
Examples: A - B = {1, 2}, B - A = {6, 7}
NOTE: Union, intersection, and difference of sets may be extended to more than two sets.
Below is a set of problems involving set operations.
Set Operations
Check the Answer Box below for the correct answers.
ANSWER BOX:
In this lesson, you learned how to find the union, intersection, and difference of two sets.
In a future lesson, you'll learn how to represent sets and perform set operations using a Venn Diagram. Did you ENJOY today's lesson?